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Finding the Fourth Proportional to 1,132.76, 1,699.25 and 402.16

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Solution

The fourth proportional to 1,132.76, 1,699.25 and 402.16 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.76 : 1,699.25 = 402.16 : x
  2. Step 2: Convert to fraction form
    1,132.76/1,699.25 = 402.16/x
  3. Step 3: Cross multiply
    1,132.76x = 1,699.25 × 402.16
  4. Step 4: Simplify right side
    1,132.76x = 683,370.38
  5. Step 5: Solve for x
    x = 683,370.38/1,132.76
  6. Step 6: Final answer
    x = 603.28

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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.