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Finding the Fourth Proportional to 1,125.56, 1,552.21 and 677.36

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Solution

The fourth proportional to 1,125.56, 1,552.21 and 677.36 is: 934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.56 : 1,552.21 = 677.36 : x
  2. Step 2: Convert to fraction form
    1,125.56/1,552.21 = 677.36/x
  3. Step 3: Cross multiply
    1,125.56x = 1,552.21 × 677.36
  4. Step 4: Simplify right side
    1,125.56x = 1,051,404.97
  5. Step 5: Solve for x
    x = 1,051,404.97/1,125.56
  6. Step 6: Final answer
    x = 934.12

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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.