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Finding the Fourth Proportional to 1,144.32, 1,717.20 and 567.24

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Solution

The fourth proportional to 1,144.32, 1,717.20 and 567.24 is: 851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.32 : 1,717.20 = 567.24 : x
  2. Step 2: Convert to fraction form
    1,144.32/1,717.20 = 567.24/x
  3. Step 3: Cross multiply
    1,144.32x = 1,717.20 × 567.24
  4. Step 4: Simplify right side
    1,144.32x = 974,064.53
  5. Step 5: Solve for x
    x = 974,064.53/1,144.32
  6. Step 6: Final answer
    x = 851.22

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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.