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Finding the Fourth Proportional to 808.81, 1,116.43 and 525.61

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Solution

The fourth proportional to 808.81, 1,116.43 and 525.61 is: 725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.81 : 1,116.43 = 525.61 : x
  2. Step 2: Convert to fraction form
    808.81/1,116.43 = 525.61/x
  3. Step 3: Cross multiply
    808.81x = 1,116.43 × 525.61
  4. Step 4: Simplify right side
    808.81x = 586,806.85
  5. Step 5: Solve for x
    x = 586,806.85/808.81
  6. Step 6: Final answer
    x = 725.52

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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.