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Finding the Fourth Proportional to 984.75, 1,477.57 and 497.83

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Solution

The fourth proportional to 984.75, 1,477.57 and 497.83 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 1,477.57 = 497.83 : x
  2. Step 2: Convert to fraction form
    984.75/1,477.57 = 497.83/x
  3. Step 3: Cross multiply
    984.75x = 1,477.57 × 497.83
  4. Step 4: Simplify right side
    984.75x = 735,578.67
  5. Step 5: Solve for x
    x = 735,578.67/984.75
  6. Step 6: Final answer
    x = 746.97

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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.