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Finding the Fourth Proportional to 1,017.97, 1,516.94 and 984.90

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Solution

The fourth proportional to 1,017.97, 1,516.94 and 984.90 is: 1,467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.97 : 1,516.94 = 984.90 : x
  2. Step 2: Convert to fraction form
    1,017.97/1,516.94 = 984.90/x
  3. Step 3: Cross multiply
    1,017.97x = 1,516.94 × 984.90
  4. Step 4: Simplify right side
    1,017.97x = 1,494,034.21
  5. Step 5: Solve for x
    x = 1,494,034.21/1,017.97
  6. Step 6: Final answer
    x = 1,467.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.