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Finding the Fourth Proportional to 718.16, 1,078.36 and 597.20

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Solution

The fourth proportional to 718.16, 1,078.36 and 597.20 is: 896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.16 : 1,078.36 = 597.20 : x
  2. Step 2: Convert to fraction form
    718.16/1,078.36 = 597.20/x
  3. Step 3: Cross multiply
    718.16x = 1,078.36 × 597.20
  4. Step 4: Simplify right side
    718.16x = 643,996.59
  5. Step 5: Solve for x
    x = 643,996.59/718.16
  6. Step 6: Final answer
    x = 896.73

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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.