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Finding the Fourth Proportional to 1,250.72, 1,876.18 and 429.04

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Solution

The fourth proportional to 1,250.72, 1,876.18 and 429.04 is: 643.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.72 : 1,876.18 = 429.04 : x
  2. Step 2: Convert to fraction form
    1,250.72/1,876.18 = 429.04/x
  3. Step 3: Cross multiply
    1,250.72x = 1,876.18 × 429.04
  4. Step 4: Simplify right side
    1,250.72x = 804,956.27
  5. Step 5: Solve for x
    x = 804,956.27/1,250.72
  6. Step 6: Final answer
    x = 643.59

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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.