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Finding the Fourth Proportional to 1,251.36, 1,877.16 and 471.24

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Solution

The fourth proportional to 1,251.36, 1,877.16 and 471.24 is: 706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.36 : 1,877.16 = 471.24 : x
  2. Step 2: Convert to fraction form
    1,251.36/1,877.16 = 471.24/x
  3. Step 3: Cross multiply
    1,251.36x = 1,877.16 × 471.24
  4. Step 4: Simplify right side
    1,251.36x = 884,592.88
  5. Step 5: Solve for x
    x = 884,592.88/1,251.36
  6. Step 6: Final answer
    x = 706.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.