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Finding the Fourth Proportional to 870.23, 1,305.82 and 863.16

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Solution

The fourth proportional to 870.23, 1,305.82 and 863.16 is: 1,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,305.82 = 863.16 : x
  2. Step 2: Convert to fraction form
    870.23/1,305.82 = 863.16/x
  3. Step 3: Cross multiply
    870.23x = 1,305.82 × 863.16
  4. Step 4: Simplify right side
    870.23x = 1,127,132.70
  5. Step 5: Solve for x
    x = 1,127,132.70/870.23
  6. Step 6: Final answer
    x = 1,295.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.