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Finding the Fourth Proportional to 720.34, 1,078.46 and 591.86

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Solution

The fourth proportional to 720.34, 1,078.46 and 591.86 is: 886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.34 : 1,078.46 = 591.86 : x
  2. Step 2: Convert to fraction form
    720.34/1,078.46 = 591.86/x
  3. Step 3: Cross multiply
    720.34x = 1,078.46 × 591.86
  4. Step 4: Simplify right side
    720.34x = 638,296.55
  5. Step 5: Solve for x
    x = 638,296.55/720.34
  6. Step 6: Final answer
    x = 886.10

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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.