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Finding the Fourth Proportional to 1,171.48, 1,616.41 and 699.23

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Solution

The fourth proportional to 1,171.48, 1,616.41 and 699.23 is: 964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.48 : 1,616.41 = 699.23 : x
  2. Step 2: Convert to fraction form
    1,171.48/1,616.41 = 699.23/x
  3. Step 3: Cross multiply
    1,171.48x = 1,616.41 × 699.23
  4. Step 4: Simplify right side
    1,171.48x = 1,130,232.53
  5. Step 5: Solve for x
    x = 1,130,232.53/1,171.48
  6. Step 6: Final answer
    x = 964.79

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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.