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Finding the Fourth Proportional to 1,170.18, 1,613.76 and 797.70

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Solution

The fourth proportional to 1,170.18, 1,613.76 and 797.70 is: 1,100.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.18 : 1,613.76 = 797.70 : x
  2. Step 2: Convert to fraction form
    1,170.18/1,613.76 = 797.70/x
  3. Step 3: Cross multiply
    1,170.18x = 1,613.76 × 797.70
  4. Step 4: Simplify right side
    1,170.18x = 1,287,296.35
  5. Step 5: Solve for x
    x = 1,287,296.35/1,170.18
  6. Step 6: Final answer
    x = 1,100.08

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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.