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Finding the Fourth Proportional to 817.78, 1,127.96 and 537.92

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Solution

The fourth proportional to 817.78, 1,127.96 and 537.92 is: 741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.78 : 1,127.96 = 537.92 : x
  2. Step 2: Convert to fraction form
    817.78/1,127.96 = 537.92/x
  3. Step 3: Cross multiply
    817.78x = 1,127.96 × 537.92
  4. Step 4: Simplify right side
    817.78x = 606,749.55
  5. Step 5: Solve for x
    x = 606,749.55/817.78
  6. Step 6: Final answer
    x = 741.95

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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.