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Finding the Fourth Proportional to 691.68, 1,039.80 and 640.95

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Solution

The fourth proportional to 691.68, 1,039.80 and 640.95 is: 963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.68 : 1,039.80 = 640.95 : x
  2. Step 2: Convert to fraction form
    691.68/1,039.80 = 640.95/x
  3. Step 3: Cross multiply
    691.68x = 1,039.80 × 640.95
  4. Step 4: Simplify right side
    691.68x = 666,459.20
  5. Step 5: Solve for x
    x = 666,459.20/691.68
  6. Step 6: Final answer
    x = 963.54

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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.