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Finding the Fourth Proportional to 805.61, 1,111.03 and 553.43

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Solution

The fourth proportional to 805.61, 1,111.03 and 553.43 is: 763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.61 : 1,111.03 = 553.43 : x
  2. Step 2: Convert to fraction form
    805.61/1,111.03 = 553.43/x
  3. Step 3: Cross multiply
    805.61x = 1,111.03 × 553.43
  4. Step 4: Simplify right side
    805.61x = 614,878.73
  5. Step 5: Solve for x
    x = 614,878.73/805.61
  6. Step 6: Final answer
    x = 763.24

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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.