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Finding the Fourth Proportional to 805, 1,111.11 and 525.94

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Solution

The fourth proportional to 805, 1,111.11 and 525.94 is: 725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    805 : 1,111.11 = 525.94 : x
  2. Step 2: Convert to fraction form
    805/1,111.11 = 525.94/x
  3. Step 3: Cross multiply
    805x = 1,111.11 × 525.94
  4. Step 4: Simplify right side
    805x = 584,377.19
  5. Step 5: Solve for x
    x = 584,377.19/805
  6. Step 6: Final answer
    x = 725.93

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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.