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Finding the Fourth Proportional to 1,127.14, 1,555.41 and 655

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Solution

The fourth proportional to 1,127.14, 1,555.41 and 655 is: 903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.14 : 1,555.41 = 655 : x
  2. Step 2: Convert to fraction form
    1,127.14/1,555.41 = 655/x
  3. Step 3: Cross multiply
    1,127.14x = 1,555.41 × 655
  4. Step 4: Simplify right side
    1,127.14x = 1,018,793.55
  5. Step 5: Solve for x
    x = 1,018,793.55/1,127.14
  6. Step 6: Final answer
    x = 903.87

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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.