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Finding the Fourth Proportional to 1,250.20, 1,875.32 and 384.56

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Solution

The fourth proportional to 1,250.20, 1,875.32 and 384.56 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.20 : 1,875.32 = 384.56 : x
  2. Step 2: Convert to fraction form
    1,250.20/1,875.32 = 384.56/x
  3. Step 3: Cross multiply
    1,250.20x = 1,875.32 × 384.56
  4. Step 4: Simplify right side
    1,250.20x = 721,173.06
  5. Step 5: Solve for x
    x = 721,173.06/1,250.20
  6. Step 6: Final answer
    x = 576.85

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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.