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Finding the Fourth Proportional to 1,251.25, 1,876.37 and 429.10

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Solution

The fourth proportional to 1,251.25, 1,876.37 and 429.10 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.25 : 1,876.37 = 429.10 : x
  2. Step 2: Convert to fraction form
    1,251.25/1,876.37 = 429.10/x
  3. Step 3: Cross multiply
    1,251.25x = 1,876.37 × 429.10
  4. Step 4: Simplify right side
    1,251.25x = 805,143.53
  5. Step 5: Solve for x
    x = 805,143.53/1,251.25
  6. Step 6: Final answer
    x = 643.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.