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Finding the Fourth Proportional to 649.92, 975.02 and 497.78

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Solution

The fourth proportional to 649.92, 975.02 and 497.78 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.92 : 975.02 = 497.78 : x
  2. Step 2: Convert to fraction form
    649.92/975.02 = 497.78/x
  3. Step 3: Cross multiply
    649.92x = 975.02 × 497.78
  4. Step 4: Simplify right side
    649.92x = 485,338.09
  5. Step 5: Solve for x
    x = 485,338.09/649.92
  6. Step 6: Final answer
    x = 746.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.