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Finding the Fourth Proportional to 801.95, 1,196.76 and 709.61

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Solution

The fourth proportional to 801.95, 1,196.76 and 709.61 is: 1,058.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.95 : 1,196.76 = 709.61 : x
  2. Step 2: Convert to fraction form
    801.95/1,196.76 = 709.61/x
  3. Step 3: Cross multiply
    801.95x = 1,196.76 × 709.61
  4. Step 4: Simplify right side
    801.95x = 849,229.32
  5. Step 5: Solve for x
    x = 849,229.32/801.95
  6. Step 6: Final answer
    x = 1,058.96

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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.