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Finding the Fourth Proportional to 874.53, 1,311.84 and 509.13

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Solution

The fourth proportional to 874.53, 1,311.84 and 509.13 is: 763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.53 : 1,311.84 = 509.13 : x
  2. Step 2: Convert to fraction form
    874.53/1,311.84 = 509.13/x
  3. Step 3: Cross multiply
    874.53x = 1,311.84 × 509.13
  4. Step 4: Simplify right side
    874.53x = 667,897.10
  5. Step 5: Solve for x
    x = 667,897.10/874.53
  6. Step 6: Final answer
    x = 763.72

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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.