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Finding the Fourth Proportional to 1,171.10, 1,616.47 and 699.33

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Solution

The fourth proportional to 1,171.10, 1,616.47 and 699.33 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.10 : 1,616.47 = 699.33 : x
  2. Step 2: Convert to fraction form
    1,171.10/1,616.47 = 699.33/x
  3. Step 3: Cross multiply
    1,171.10x = 1,616.47 × 699.33
  4. Step 4: Simplify right side
    1,171.10x = 1,130,445.97
  5. Step 5: Solve for x
    x = 1,130,445.97/1,171.10
  6. Step 6: Final answer
    x = 965.29

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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.