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Finding the Fourth Proportional to 1,251.36, 1,877.76 and 520.80

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Solution

The fourth proportional to 1,251.36, 1,877.76 and 520.80 is: 781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.36 : 1,877.76 = 520.80 : x
  2. Step 2: Convert to fraction form
    1,251.36/1,877.76 = 520.80/x
  3. Step 3: Cross multiply
    1,251.36x = 1,877.76 × 520.80
  4. Step 4: Simplify right side
    1,251.36x = 977,937.41
  5. Step 5: Solve for x
    x = 977,937.41/1,251.36
  6. Step 6: Final answer
    x = 781.50

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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.