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Finding the Fourth Proportional to 801.56, 1,196.99 and 760.55

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Solution

The fourth proportional to 801.56, 1,196.99 and 760.55 is: 1,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.56 : 1,196.99 = 760.55 : x
  2. Step 2: Convert to fraction form
    801.56/1,196.99 = 760.55/x
  3. Step 3: Cross multiply
    801.56x = 1,196.99 × 760.55
  4. Step 4: Simplify right side
    801.56x = 910,370.74
  5. Step 5: Solve for x
    x = 910,370.74/801.56
  6. Step 6: Final answer
    x = 1,135.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.