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Finding the Fourth Proportional to 1,123.08, 1,549.74 and 625.60

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Solution

The fourth proportional to 1,123.08, 1,549.74 and 625.60 is: 863.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.08 : 1,549.74 = 625.60 : x
  2. Step 2: Convert to fraction form
    1,123.08/1,549.74 = 625.60/x
  3. Step 3: Cross multiply
    1,123.08x = 1,549.74 × 625.60
  4. Step 4: Simplify right side
    1,123.08x = 969,517.34
  5. Step 5: Solve for x
    x = 969,517.34/1,123.08
  6. Step 6: Final answer
    x = 863.27

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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.