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Finding the Fourth Proportional to 968.80, 1,337.42 and 758.61

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Solution

The fourth proportional to 968.80, 1,337.42 and 758.61 is: 1,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.80 : 1,337.42 = 758.61 : x
  2. Step 2: Convert to fraction form
    968.80/1,337.42 = 758.61/x
  3. Step 3: Cross multiply
    968.80x = 1,337.42 × 758.61
  4. Step 4: Simplify right side
    968.80x = 1,014,580.19
  5. Step 5: Solve for x
    x = 1,014,580.19/968.80
  6. Step 6: Final answer
    x = 1,047.25

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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.