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Finding the Fourth Proportional to 1,496.42, 2,065.31 and 867.32

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Solution

The fourth proportional to 1,496.42, 2,065.31 and 867.32 is: 1,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.42 : 2,065.31 = 867.32 : x
  2. Step 2: Convert to fraction form
    1,496.42/2,065.31 = 867.32/x
  3. Step 3: Cross multiply
    1,496.42x = 2,065.31 × 867.32
  4. Step 4: Simplify right side
    1,496.42x = 1,791,285.13
  5. Step 5: Solve for x
    x = 1,791,285.13/1,496.42
  6. Step 6: Final answer
    x = 1,197.04

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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.