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Finding the Fourth Proportional to 1,250.11, 1,875.17 and 470.08

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Solution

The fourth proportional to 1,250.11, 1,875.17 and 470.08 is: 705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.11 : 1,875.17 = 470.08 : x
  2. Step 2: Convert to fraction form
    1,250.11/1,875.17 = 470.08/x
  3. Step 3: Cross multiply
    1,250.11x = 1,875.17 × 470.08
  4. Step 4: Simplify right side
    1,250.11x = 881,472.88
  5. Step 5: Solve for x
    x = 881,472.88/1,250.11
  6. Step 6: Final answer
    x = 705.12

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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.