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Finding the Fourth Proportional to 1,160.61, 1,601.80 and 688.92

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Solution

The fourth proportional to 1,160.61, 1,601.80 and 688.92 is: 950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.61 : 1,601.80 = 688.92 : x
  2. Step 2: Convert to fraction form
    1,160.61/1,601.80 = 688.92/x
  3. Step 3: Cross multiply
    1,160.61x = 1,601.80 × 688.92
  4. Step 4: Simplify right side
    1,160.61x = 1,103,504.33
  5. Step 5: Solve for x
    x = 1,103,504.33/1,160.61
  6. Step 6: Final answer
    x = 950.80

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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.