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Finding the Fourth Proportional to 1,087.14, 1,500.27 and 621.39

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Solution

The fourth proportional to 1,087.14, 1,500.27 and 621.39 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.14 : 1,500.27 = 621.39 : x
  2. Step 2: Convert to fraction form
    1,087.14/1,500.27 = 621.39/x
  3. Step 3: Cross multiply
    1,087.14x = 1,500.27 × 621.39
  4. Step 4: Simplify right side
    1,087.14x = 932,252.78
  5. Step 5: Solve for x
    x = 932,252.78/1,087.14
  6. Step 6: Final answer
    x = 857.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.