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Finding the Fourth Proportional to 1,123.88, 1,549.62 and 769.98

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Solution

The fourth proportional to 1,123.88, 1,549.62 and 769.98 is: 1,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.88 : 1,549.62 = 769.98 : x
  2. Step 2: Convert to fraction form
    1,123.88/1,549.62 = 769.98/x
  3. Step 3: Cross multiply
    1,123.88x = 1,549.62 × 769.98
  4. Step 4: Simplify right side
    1,123.88x = 1,193,176.41
  5. Step 5: Solve for x
    x = 1,193,176.41/1,123.88
  6. Step 6: Final answer
    x = 1,061.66

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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.