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Finding the Fourth Proportional to 1,125.42, 1,552.72 and 627.98

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Solution

The fourth proportional to 1,125.42, 1,552.72 and 627.98 is: 866.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.42 : 1,552.72 = 627.98 : x
  2. Step 2: Convert to fraction form
    1,125.42/1,552.72 = 627.98/x
  3. Step 3: Cross multiply
    1,125.42x = 1,552.72 × 627.98
  4. Step 4: Simplify right side
    1,125.42x = 975,073.97
  5. Step 5: Solve for x
    x = 975,073.97/1,125.42
  6. Step 6: Final answer
    x = 866.41

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1.5x scale

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.