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Finding the Fourth Proportional to 732.40, 1,010.68 and 400.82

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Solution

The fourth proportional to 732.40, 1,010.68 and 400.82 is: 553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.40 : 1,010.68 = 400.82 : x
  2. Step 2: Convert to fraction form
    732.40/1,010.68 = 400.82/x
  3. Step 3: Cross multiply
    732.40x = 1,010.68 × 400.82
  4. Step 4: Simplify right side
    732.40x = 405,094.70
  5. Step 5: Solve for x
    x = 405,094.70/732.40
  6. Step 6: Final answer
    x = 553.11

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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.