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Finding the Fourth Proportional to 870.33, 1,200.13 and 759.62

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Solution

The fourth proportional to 870.33, 1,200.13 and 759.62 is: 1,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.33 : 1,200.13 = 759.62 : x
  2. Step 2: Convert to fraction form
    870.33/1,200.13 = 759.62/x
  3. Step 3: Cross multiply
    870.33x = 1,200.13 × 759.62
  4. Step 4: Simplify right side
    870.33x = 911,642.75
  5. Step 5: Solve for x
    x = 911,642.75/870.33
  6. Step 6: Final answer
    x = 1,047.47

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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.