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Finding the Fourth Proportional to 754.38, 1,040.31 and 566.46

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Solution

The fourth proportional to 754.38, 1,040.31 and 566.46 is: 781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.38 : 1,040.31 = 566.46 : x
  2. Step 2: Convert to fraction form
    754.38/1,040.31 = 566.46/x
  3. Step 3: Cross multiply
    754.38x = 1,040.31 × 566.46
  4. Step 4: Simplify right side
    754.38x = 589,294.00
  5. Step 5: Solve for x
    x = 589,294.00/754.38
  6. Step 6: Final answer
    x = 781.16

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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.