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Finding the Fourth Proportional to 742.91, 1,025.26 and 411.35

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Solution

The fourth proportional to 742.91, 1,025.26 and 411.35 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.91 : 1,025.26 = 411.35 : x
  2. Step 2: Convert to fraction form
    742.91/1,025.26 = 411.35/x
  3. Step 3: Cross multiply
    742.91x = 1,025.26 × 411.35
  4. Step 4: Simplify right side
    742.91x = 421,746.86
  5. Step 5: Solve for x
    x = 421,746.86/742.91
  6. Step 6: Final answer
    x = 567.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.