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Finding the Fourth Proportional to 1,123.77, 1,677.42 and 1,042.45

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Solution

The fourth proportional to 1,123.77, 1,677.42 and 1,042.45 is: 1,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.77 : 1,677.42 = 1,042.45 : x
  2. Step 2: Convert to fraction form
    1,123.77/1,677.42 = 1,042.45/x
  3. Step 3: Cross multiply
    1,123.77x = 1,677.42 × 1,042.45
  4. Step 4: Simplify right side
    1,123.77x = 1,748,626.48
  5. Step 5: Solve for x
    x = 1,748,626.48/1,123.77
  6. Step 6: Final answer
    x = 1,556.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.