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Finding the Fourth Proportional to 720.44, 995.76 and 525.32

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Solution

The fourth proportional to 720.44, 995.76 and 525.32 is: 726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 995.76 = 525.32 : x
  2. Step 2: Convert to fraction form
    720.44/995.76 = 525.32/x
  3. Step 3: Cross multiply
    720.44x = 995.76 × 525.32
  4. Step 4: Simplify right side
    720.44x = 523,092.64
  5. Step 5: Solve for x
    x = 523,092.64/720.44
  6. Step 6: Final answer
    x = 726.07

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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.