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Finding the Fourth Proportional to 984.43, 1,475.57 and 497.51

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Solution

The fourth proportional to 984.43, 1,475.57 and 497.51 is: 745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.43 : 1,475.57 = 497.51 : x
  2. Step 2: Convert to fraction form
    984.43/1,475.57 = 497.51/x
  3. Step 3: Cross multiply
    984.43x = 1,475.57 × 497.51
  4. Step 4: Simplify right side
    984.43x = 734,115.76
  5. Step 5: Solve for x
    x = 734,115.76/984.43
  6. Step 6: Final answer
    x = 745.73

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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.