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Finding the Fourth Proportional to 1,021.56, 1,406.19 and 890.34

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Solution

The fourth proportional to 1,021.56, 1,406.19 and 890.34 is: 1,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.56 : 1,406.19 = 890.34 : x
  2. Step 2: Convert to fraction form
    1,021.56/1,406.19 = 890.34/x
  3. Step 3: Cross multiply
    1,021.56x = 1,406.19 × 890.34
  4. Step 4: Simplify right side
    1,021.56x = 1,251,980.17
  5. Step 5: Solve for x
    x = 1,251,980.17/1,021.56
  6. Step 6: Final answer
    x = 1,225.56

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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.