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Finding the Fourth Proportional to 1,171.03, 1,613.55 and 797.35

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Solution

The fourth proportional to 1,171.03, 1,613.55 and 797.35 is: 1,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.03 : 1,613.55 = 797.35 : x
  2. Step 2: Convert to fraction form
    1,171.03/1,613.55 = 797.35/x
  3. Step 3: Cross multiply
    1,171.03x = 1,613.55 × 797.35
  4. Step 4: Simplify right side
    1,171.03x = 1,286,556.02
  5. Step 5: Solve for x
    x = 1,286,556.02/1,171.03
  6. Step 6: Final answer
    x = 1,098.66

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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.