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Finding the Fourth Proportional to 1,251.38, 1,875.81 and 558.41

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Solution

The fourth proportional to 1,251.38, 1,875.81 and 558.41 is: 837.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.38 : 1,875.81 = 558.41 : x
  2. Step 2: Convert to fraction form
    1,251.38/1,875.81 = 558.41/x
  3. Step 3: Cross multiply
    1,251.38x = 1,875.81 × 558.41
  4. Step 4: Simplify right side
    1,251.38x = 1,047,471.06
  5. Step 5: Solve for x
    x = 1,047,471.06/1,251.38
  6. Step 6: Final answer
    x = 837.05

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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.