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Finding the Fourth Proportional to 976.81, 1,465.23 and 592.33

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Solution

The fourth proportional to 976.81, 1,465.23 and 592.33 is: 888.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.81 : 1,465.23 = 592.33 : x
  2. Step 2: Convert to fraction form
    976.81/1,465.23 = 592.33/x
  3. Step 3: Cross multiply
    976.81x = 1,465.23 × 592.33
  4. Step 4: Simplify right side
    976.81x = 867,899.69
  5. Step 5: Solve for x
    x = 867,899.69/976.81
  6. Step 6: Final answer
    x = 888.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.