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Finding the Fourth Proportional to 720.49, 1,078.91 and 597.48

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Solution

The fourth proportional to 720.49, 1,078.91 and 597.48 is: 894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.49 : 1,078.91 = 597.48 : x
  2. Step 2: Convert to fraction form
    720.49/1,078.91 = 597.48/x
  3. Step 3: Cross multiply
    720.49x = 1,078.91 × 597.48
  4. Step 4: Simplify right side
    720.49x = 644,627.15
  5. Step 5: Solve for x
    x = 644,627.15/720.49
  6. Step 6: Final answer
    x = 894.71

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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.