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Finding the Fourth Proportional to 719.75, 991.71 and 498.31

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Solution

The fourth proportional to 719.75, 991.71 and 498.31 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.75 : 991.71 = 498.31 : x
  2. Step 2: Convert to fraction form
    719.75/991.71 = 498.31/x
  3. Step 3: Cross multiply
    719.75x = 991.71 × 498.31
  4. Step 4: Simplify right side
    719.75x = 494,179.01
  5. Step 5: Solve for x
    x = 494,179.01/719.75
  6. Step 6: Final answer
    x = 686.60

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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.