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Finding the Fourth Proportional to 731.96, 1,009.98 and 417.17

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Solution

The fourth proportional to 731.96, 1,009.98 and 417.17 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.96 : 1,009.98 = 417.17 : x
  2. Step 2: Convert to fraction form
    731.96/1,009.98 = 417.17/x
  3. Step 3: Cross multiply
    731.96x = 1,009.98 × 417.17
  4. Step 4: Simplify right side
    731.96x = 421,328.31
  5. Step 5: Solve for x
    x = 421,328.31/731.96
  6. Step 6: Final answer
    x = 575.62

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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.