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Finding the Fourth Proportional to 701.26, 968.58 and 514.48

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Solution

The fourth proportional to 701.26, 968.58 and 514.48 is: 710.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.26 : 968.58 = 514.48 : x
  2. Step 2: Convert to fraction form
    701.26/968.58 = 514.48/x
  3. Step 3: Cross multiply
    701.26x = 968.58 × 514.48
  4. Step 4: Simplify right side
    701.26x = 498,315.04
  5. Step 5: Solve for x
    x = 498,315.04/701.26
  6. Step 6: Final answer
    x = 710.60

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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.