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Finding the Fourth Proportional to 1,086.86, 1,500.23 and 688.79

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Solution

The fourth proportional to 1,086.86, 1,500.23 and 688.79 is: 950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.86 : 1,500.23 = 688.79 : x
  2. Step 2: Convert to fraction form
    1,086.86/1,500.23 = 688.79/x
  3. Step 3: Cross multiply
    1,086.86x = 1,500.23 × 688.79
  4. Step 4: Simplify right side
    1,086.86x = 1,033,343.42
  5. Step 5: Solve for x
    x = 1,033,343.42/1,086.86
  6. Step 6: Final answer
    x = 950.76

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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.