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Finding the Fourth Proportional to 880.92, 1,215.72 and 601.20

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Solution

The fourth proportional to 880.92, 1,215.72 and 601.20 is: 829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,215.72 = 601.20 : x
  2. Step 2: Convert to fraction form
    880.92/1,215.72 = 601.20/x
  3. Step 3: Cross multiply
    880.92x = 1,215.72 × 601.20
  4. Step 4: Simplify right side
    880.92x = 730,890.86
  5. Step 5: Solve for x
    x = 730,890.86/880.92
  6. Step 6: Final answer
    x = 829.69

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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.