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Finding the Fourth Proportional to 1,123.55, 1,686.33 and 713.42

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Solution

The fourth proportional to 1,123.55, 1,686.33 and 713.42 is: 1,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.55 : 1,686.33 = 713.42 : x
  2. Step 2: Convert to fraction form
    1,123.55/1,686.33 = 713.42/x
  3. Step 3: Cross multiply
    1,123.55x = 1,686.33 × 713.42
  4. Step 4: Simplify right side
    1,123.55x = 1,203,061.55
  5. Step 5: Solve for x
    x = 1,203,061.55/1,123.55
  6. Step 6: Final answer
    x = 1,070.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.