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Finding the Fourth Proportional to 1,250.56, 1,876.14 and 557.20

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Solution

The fourth proportional to 1,250.56, 1,876.14 and 557.20 is: 835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.56 : 1,876.14 = 557.20 : x
  2. Step 2: Convert to fraction form
    1,250.56/1,876.14 = 557.20/x
  3. Step 3: Cross multiply
    1,250.56x = 1,876.14 × 557.20
  4. Step 4: Simplify right side
    1,250.56x = 1,045,385.21
  5. Step 5: Solve for x
    x = 1,045,385.21/1,250.56
  6. Step 6: Final answer
    x = 835.93

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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.