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Finding the Fourth Proportional to 1,123.88, 1,549.93 and 884.71

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Solution

The fourth proportional to 1,123.88, 1,549.93 and 884.71 is: 1,220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.88 : 1,549.93 = 884.71 : x
  2. Step 2: Convert to fraction form
    1,123.88/1,549.93 = 884.71/x
  3. Step 3: Cross multiply
    1,123.88x = 1,549.93 × 884.71
  4. Step 4: Simplify right side
    1,123.88x = 1,371,238.57
  5. Step 5: Solve for x
    x = 1,371,238.57/1,123.88
  6. Step 6: Final answer
    x = 1,220.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.