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Finding the Fourth Proportional to 1,251.56, 1,877.34 and 429.96

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Solution

The fourth proportional to 1,251.56, 1,877.34 and 429.96 is: 644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.56 : 1,877.34 = 429.96 : x
  2. Step 2: Convert to fraction form
    1,251.56/1,877.34 = 429.96/x
  3. Step 3: Cross multiply
    1,251.56x = 1,877.34 × 429.96
  4. Step 4: Simplify right side
    1,251.56x = 807,181.11
  5. Step 5: Solve for x
    x = 807,181.11/1,251.56
  6. Step 6: Final answer
    x = 644.94

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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.