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Finding the Fourth Proportional to 1,174.16, 1,762.97 and 655.17

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Solution

The fourth proportional to 1,174.16, 1,762.97 and 655.17 is: 983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.16 : 1,762.97 = 655.17 : x
  2. Step 2: Convert to fraction form
    1,174.16/1,762.97 = 655.17/x
  3. Step 3: Cross multiply
    1,174.16x = 1,762.97 × 655.17
  4. Step 4: Simplify right side
    1,174.16x = 1,155,046.19
  5. Step 5: Solve for x
    x = 1,155,046.19/1,174.16
  6. Step 6: Final answer
    x = 983.72

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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.