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Finding the Fourth Proportional to 720.88, 995.40 and 514

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Solution

The fourth proportional to 720.88, 995.40 and 514 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.88 : 995.40 = 514 : x
  2. Step 2: Convert to fraction form
    720.88/995.40 = 514/x
  3. Step 3: Cross multiply
    720.88x = 995.40 × 514
  4. Step 4: Simplify right side
    720.88x = 511,635.60
  5. Step 5: Solve for x
    x = 511,635.60/720.88
  6. Step 6: Final answer
    x = 709.74

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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.