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Finding the Fourth Proportional to 1,251.60, 1,876.09 and 429.58

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Solution

The fourth proportional to 1,251.60, 1,876.09 and 429.58 is: 643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.60 : 1,876.09 = 429.58 : x
  2. Step 2: Convert to fraction form
    1,251.60/1,876.09 = 429.58/x
  3. Step 3: Cross multiply
    1,251.60x = 1,876.09 × 429.58
  4. Step 4: Simplify right side
    1,251.60x = 805,930.74
  5. Step 5: Solve for x
    x = 805,930.74/1,251.60
  6. Step 6: Final answer
    x = 643.92

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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.