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Finding the Fourth Proportional to 1,125.14, 1,552.59 and 627.78

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Solution

The fourth proportional to 1,125.14, 1,552.59 and 627.78 is: 866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.14 : 1,552.59 = 627.78 : x
  2. Step 2: Convert to fraction form
    1,125.14/1,552.59 = 627.78/x
  3. Step 3: Cross multiply
    1,125.14x = 1,552.59 × 627.78
  4. Step 4: Simplify right side
    1,125.14x = 974,684.95
  5. Step 5: Solve for x
    x = 974,684.95/1,125.14
  6. Step 6: Final answer
    x = 866.28

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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.