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Finding the Fourth Proportional to 731.94, 1,010.10 and 417.18

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Solution

The fourth proportional to 731.94, 1,010.10 and 417.18 is: 575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.94 : 1,010.10 = 417.18 : x
  2. Step 2: Convert to fraction form
    731.94/1,010.10 = 417.18/x
  3. Step 3: Cross multiply
    731.94x = 1,010.10 × 417.18
  4. Step 4: Simplify right side
    731.94x = 421,393.52
  5. Step 5: Solve for x
    x = 421,393.52/731.94
  6. Step 6: Final answer
    x = 575.72

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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.