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Finding the Fourth Proportional to 721.84, 995.88 and 652

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Solution

The fourth proportional to 721.84, 995.88 and 652 is: 899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.84 : 995.88 = 652 : x
  2. Step 2: Convert to fraction form
    721.84/995.88 = 652/x
  3. Step 3: Cross multiply
    721.84x = 995.88 × 652
  4. Step 4: Simplify right side
    721.84x = 649,313.76
  5. Step 5: Solve for x
    x = 649,313.76/721.84
  6. Step 6: Final answer
    x = 899.53

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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.