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Finding the Fourth Proportional to 870.44, 1,306.96 and 857.47

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Solution

The fourth proportional to 870.44, 1,306.96 and 857.47 is: 1,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.44 : 1,306.96 = 857.47 : x
  2. Step 2: Convert to fraction form
    870.44/1,306.96 = 857.47/x
  3. Step 3: Cross multiply
    870.44x = 1,306.96 × 857.47
  4. Step 4: Simplify right side
    870.44x = 1,120,673.58
  5. Step 5: Solve for x
    x = 1,120,673.58/870.44
  6. Step 6: Final answer
    x = 1,287.48

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