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Finding the Fourth Proportional to 719.19, 1,079.31 and 487.53

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Solution

The fourth proportional to 719.19, 1,079.31 and 487.53 is: 731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.19 : 1,079.31 = 487.53 : x
  2. Step 2: Convert to fraction form
    719.19/1,079.31 = 487.53/x
  3. Step 3: Cross multiply
    719.19x = 1,079.31 × 487.53
  4. Step 4: Simplify right side
    719.19x = 526,196.00
  5. Step 5: Solve for x
    x = 526,196.00/719.19
  6. Step 6: Final answer
    x = 731.65

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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.