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Finding the Fourth Proportional to 761.46, 1,136.68 and 669.20

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Solution

The fourth proportional to 761.46, 1,136.68 and 669.20 is: 998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.46 : 1,136.68 = 669.20 : x
  2. Step 2: Convert to fraction form
    761.46/1,136.68 = 669.20/x
  3. Step 3: Cross multiply
    761.46x = 1,136.68 × 669.20
  4. Step 4: Simplify right side
    761.46x = 760,657.23
  5. Step 5: Solve for x
    x = 760,657.23/761.46
  6. Step 6: Final answer
    x = 998.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.