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Finding the Fourth Proportional to 722.61, 995.13 and 689.81

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Solution

The fourth proportional to 722.61, 995.13 and 689.81 is: 949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.61 : 995.13 = 689.81 : x
  2. Step 2: Convert to fraction form
    722.61/995.13 = 689.81/x
  3. Step 3: Cross multiply
    722.61x = 995.13 × 689.81
  4. Step 4: Simplify right side
    722.61x = 686,445.65
  5. Step 5: Solve for x
    x = 686,445.65/722.61
  6. Step 6: Final answer
    x = 949.95

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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.