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Finding the Fourth Proportional to 1,122.97, 1,549.63 and 618.72

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Solution

The fourth proportional to 1,122.97, 1,549.63 and 618.72 is: 853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.97 : 1,549.63 = 618.72 : x
  2. Step 2: Convert to fraction form
    1,122.97/1,549.63 = 618.72/x
  3. Step 3: Cross multiply
    1,122.97x = 1,549.63 × 618.72
  4. Step 4: Simplify right side
    1,122.97x = 958,787.85
  5. Step 5: Solve for x
    x = 958,787.85/1,122.97
  6. Step 6: Final answer
    x = 853.80

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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.