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Finding the Fourth Proportional to 984.75, 1,477.17 and 497.67

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Solution

The fourth proportional to 984.75, 1,477.17 and 497.67 is: 746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 1,477.17 = 497.67 : x
  2. Step 2: Convert to fraction form
    984.75/1,477.17 = 497.67/x
  3. Step 3: Cross multiply
    984.75x = 1,477.17 × 497.67
  4. Step 4: Simplify right side
    984.75x = 735,143.19
  5. Step 5: Solve for x
    x = 735,143.19/984.75
  6. Step 6: Final answer
    x = 746.53

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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.