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Finding the Fourth Proportional to 1,251.04, 1,876.96 and 429.32

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Solution

The fourth proportional to 1,251.04, 1,876.96 and 429.32 is: 644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.04 : 1,876.96 = 429.32 : x
  2. Step 2: Convert to fraction form
    1,251.04/1,876.96 = 429.32/x
  3. Step 3: Cross multiply
    1,251.04x = 1,876.96 × 429.32
  4. Step 4: Simplify right side
    1,251.04x = 805,816.47
  5. Step 5: Solve for x
    x = 805,816.47/1,251.04
  6. Step 6: Final answer
    x = 644.12

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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.