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Finding the Fourth Proportional to 803.61, 1,206.78 and 497.27

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Solution

The fourth proportional to 803.61, 1,206.78 and 497.27 is: 746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.61 : 1,206.78 = 497.27 : x
  2. Step 2: Convert to fraction form
    803.61/1,206.78 = 497.27/x
  3. Step 3: Cross multiply
    803.61x = 1,206.78 × 497.27
  4. Step 4: Simplify right side
    803.61x = 600,095.49
  5. Step 5: Solve for x
    x = 600,095.49/803.61
  6. Step 6: Final answer
    x = 746.75

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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.