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Finding the Fourth Proportional to 805.22, 1,111.98 and 557.18

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Solution

The fourth proportional to 805.22, 1,111.98 and 557.18 is: 769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.22 : 1,111.98 = 557.18 : x
  2. Step 2: Convert to fraction form
    805.22/1,111.98 = 557.18/x
  3. Step 3: Cross multiply
    805.22x = 1,111.98 × 557.18
  4. Step 4: Simplify right side
    805.22x = 619,573.02
  5. Step 5: Solve for x
    x = 619,573.02/805.22
  6. Step 6: Final answer
    x = 769.45

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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.