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Finding the Fourth Proportional to 984.52, 1,477.69 and 497.91

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Solution

The fourth proportional to 984.52, 1,477.69 and 497.91 is: 747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.52 : 1,477.69 = 497.91 : x
  2. Step 2: Convert to fraction form
    984.52/1,477.69 = 497.91/x
  3. Step 3: Cross multiply
    984.52x = 1,477.69 × 497.91
  4. Step 4: Simplify right side
    984.52x = 735,754.14
  5. Step 5: Solve for x
    x = 735,754.14/984.52
  6. Step 6: Final answer
    x = 747.32

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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.