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Finding the Fourth Proportional to 721.86, 995.52 and 497.68

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Solution

The fourth proportional to 721.86, 995.52 and 497.68 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.86 : 995.52 = 497.68 : x
  2. Step 2: Convert to fraction form
    721.86/995.52 = 497.68/x
  3. Step 3: Cross multiply
    721.86x = 995.52 × 497.68
  4. Step 4: Simplify right side
    721.86x = 495,450.39
  5. Step 5: Solve for x
    x = 495,450.39/721.86
  6. Step 6: Final answer
    x = 686.35

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1.5x scale

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.