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Finding the Fourth Proportional to 724, 995.68 and 574.88

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Solution

The fourth proportional to 724, 995.68 and 574.88 is: 790.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724 : 995.68 = 574.88 : x
  2. Step 2: Convert to fraction form
    724/995.68 = 574.88/x
  3. Step 3: Cross multiply
    724x = 995.68 × 574.88
  4. Step 4: Simplify right side
    724x = 572,396.52
  5. Step 5: Solve for x
    x = 572,396.52/724
  6. Step 6: Final answer
    x = 790.60

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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.