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Finding the Fourth Proportional to 1,169.13, 1,613.65 and 797.00

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Solution

The fourth proportional to 1,169.13, 1,613.65 and 797.00 is: 1,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.13 : 1,613.65 = 797.00 : x
  2. Step 2: Convert to fraction form
    1,169.13/1,613.65 = 797.00/x
  3. Step 3: Cross multiply
    1,169.13x = 1,613.65 × 797.00
  4. Step 4: Simplify right side
    1,169.13x = 1,286,070.48
  5. Step 5: Solve for x
    x = 1,286,070.48/1,169.13
  6. Step 6: Final answer
    x = 1,100.03

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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.