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Finding the Fourth Proportional to 845.16, 1,265.52 and 411.24

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Solution

The fourth proportional to 845.16, 1,265.52 and 411.24 is: 615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.16 : 1,265.52 = 411.24 : x
  2. Step 2: Convert to fraction form
    845.16/1,265.52 = 411.24/x
  3. Step 3: Cross multiply
    845.16x = 1,265.52 × 411.24
  4. Step 4: Simplify right side
    845.16x = 520,432.44
  5. Step 5: Solve for x
    x = 520,432.44/845.16
  6. Step 6: Final answer
    x = 615.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.