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Finding the Fourth Proportional to 1,251.23, 1,877.16 and 385.52

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Solution

The fourth proportional to 1,251.23, 1,877.16 and 385.52 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.23 : 1,877.16 = 385.52 : x
  2. Step 2: Convert to fraction form
    1,251.23/1,877.16 = 385.52/x
  3. Step 3: Cross multiply
    1,251.23x = 1,877.16 × 385.52
  4. Step 4: Simplify right side
    1,251.23x = 723,682.72
  5. Step 5: Solve for x
    x = 723,682.72/1,251.23
  6. Step 6: Final answer
    x = 578.38

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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.