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Finding the Fourth Proportional to 1,122.83, 1,549.42 and 625.45

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Solution

The fourth proportional to 1,122.83, 1,549.42 and 625.45 is: 863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.83 : 1,549.42 = 625.45 : x
  2. Step 2: Convert to fraction form
    1,122.83/1,549.42 = 625.45/x
  3. Step 3: Cross multiply
    1,122.83x = 1,549.42 × 625.45
  4. Step 4: Simplify right side
    1,122.83x = 969,084.74
  5. Step 5: Solve for x
    x = 969,084.74/1,122.83
  6. Step 6: Final answer
    x = 863.07

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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.