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Finding the Fourth Proportional to 732.02, 1,010.07 and 417.26

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Solution

The fourth proportional to 732.02, 1,010.07 and 417.26 is: 575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.02 : 1,010.07 = 417.26 : x
  2. Step 2: Convert to fraction form
    732.02/1,010.07 = 417.26/x
  3. Step 3: Cross multiply
    732.02x = 1,010.07 × 417.26
  4. Step 4: Simplify right side
    732.02x = 421,461.81
  5. Step 5: Solve for x
    x = 421,461.81/732.02
  6. Step 6: Final answer
    x = 575.75

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