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Finding the Fourth Proportional to 1,160.76, 1,601.61 and 688.67

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Solution

The fourth proportional to 1,160.76, 1,601.61 and 688.67 is: 950.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.76 : 1,601.61 = 688.67 : x
  2. Step 2: Convert to fraction form
    1,160.76/1,601.61 = 688.67/x
  3. Step 3: Cross multiply
    1,160.76x = 1,601.61 × 688.67
  4. Step 4: Simplify right side
    1,160.76x = 1,102,976.17
  5. Step 5: Solve for x
    x = 1,102,976.17/1,160.76
  6. Step 6: Final answer
    x = 950.22

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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.