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Finding the Fourth Proportional to 839.23, 1,158.15 and 466.27

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Solution

The fourth proportional to 839.23, 1,158.15 and 466.27 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.23 : 1,158.15 = 466.27 : x
  2. Step 2: Convert to fraction form
    839.23/1,158.15 = 466.27/x
  3. Step 3: Cross multiply
    839.23x = 1,158.15 × 466.27
  4. Step 4: Simplify right side
    839.23x = 540,010.60
  5. Step 5: Solve for x
    x = 540,010.60/839.23
  6. Step 6: Final answer
    x = 643.46

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.