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Finding the Fourth Proportional to 1,250.40, 1,876.14 and 520.14

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Solution

The fourth proportional to 1,250.40, 1,876.14 and 520.14 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.40 : 1,876.14 = 520.14 : x
  2. Step 2: Convert to fraction form
    1,250.40/1,876.14 = 520.14/x
  3. Step 3: Cross multiply
    1,250.40x = 1,876.14 × 520.14
  4. Step 4: Simplify right side
    1,250.40x = 975,855.46
  5. Step 5: Solve for x
    x = 975,855.46/1,250.40
  6. Step 6: Final answer
    x = 780.43

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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.