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Finding the Fourth Proportional to 1,014.38, 1,397.04 and 948.50

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Solution

The fourth proportional to 1,014.38, 1,397.04 and 948.50 is: 1,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.38 : 1,397.04 = 948.50 : x
  2. Step 2: Convert to fraction form
    1,014.38/1,397.04 = 948.50/x
  3. Step 3: Cross multiply
    1,014.38x = 1,397.04 × 948.50
  4. Step 4: Simplify right side
    1,014.38x = 1,325,092.44
  5. Step 5: Solve for x
    x = 1,325,092.44/1,014.38
  6. Step 6: Final answer
    x = 1,306.31

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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.