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Finding the Fourth Proportional to 983.84, 1,474.41 and 497.21

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Solution

The fourth proportional to 983.84, 1,474.41 and 497.21 is: 745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.84 : 1,474.41 = 497.21 : x
  2. Step 2: Convert to fraction form
    983.84/1,474.41 = 497.21/x
  3. Step 3: Cross multiply
    983.84x = 1,474.41 × 497.21
  4. Step 4: Simplify right side
    983.84x = 733,091.40
  5. Step 5: Solve for x
    x = 733,091.40/983.84
  6. Step 6: Final answer
    x = 745.13

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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.