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Finding the Fourth Proportional to 1,122.98, 1,549.76 and 618.86

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Solution

The fourth proportional to 1,122.98, 1,549.76 and 618.86 is: 854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.98 : 1,549.76 = 618.86 : x
  2. Step 2: Convert to fraction form
    1,122.98/1,549.76 = 618.86/x
  3. Step 3: Cross multiply
    1,122.98x = 1,549.76 × 618.86
  4. Step 4: Simplify right side
    1,122.98x = 959,084.47
  5. Step 5: Solve for x
    x = 959,084.47/1,122.98
  6. Step 6: Final answer
    x = 854.05

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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.