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Finding the Fourth Proportional to 1,132.73, 1,699.29 and 402.11

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Solution

The fourth proportional to 1,132.73, 1,699.29 and 402.11 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.73 : 1,699.29 = 402.11 : x
  2. Step 2: Convert to fraction form
    1,132.73/1,699.29 = 402.11/x
  3. Step 3: Cross multiply
    1,132.73x = 1,699.29 × 402.11
  4. Step 4: Simplify right side
    1,132.73x = 683,301.50
  5. Step 5: Solve for x
    x = 683,301.50/1,132.73
  6. Step 6: Final answer
    x = 603.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.