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Finding the Fourth Proportional to 805.16, 1,110.71 and 525.86

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Solution

The fourth proportional to 805.16, 1,110.71 and 525.86 is: 725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.16 : 1,110.71 = 525.86 : x
  2. Step 2: Convert to fraction form
    805.16/1,110.71 = 525.86/x
  3. Step 3: Cross multiply
    805.16x = 1,110.71 × 525.86
  4. Step 4: Simplify right side
    805.16x = 584,069.78
  5. Step 5: Solve for x
    x = 584,069.78/805.16
  6. Step 6: Final answer
    x = 725.41

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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.