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Finding the Fourth Proportional to 1,160.79, 1,601.62 and 688.69

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Solution

The fourth proportional to 1,160.79, 1,601.62 and 688.69 is: 950.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.79 : 1,601.62 = 688.69 : x
  2. Step 2: Convert to fraction form
    1,160.79/1,601.62 = 688.69/x
  3. Step 3: Cross multiply
    1,160.79x = 1,601.62 × 688.69
  4. Step 4: Simplify right side
    1,160.79x = 1,103,019.68
  5. Step 5: Solve for x
    x = 1,103,019.68/1,160.79
  6. Step 6: Final answer
    x = 950.23

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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.