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Finding the Fourth Proportional to 1,116.90, 1,674.66 and 980.22

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Solution

The fourth proportional to 1,116.90, 1,674.66 and 980.22 is: 1,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.90 : 1,674.66 = 980.22 : x
  2. Step 2: Convert to fraction form
    1,116.90/1,674.66 = 980.22/x
  3. Step 3: Cross multiply
    1,116.90x = 1,674.66 × 980.22
  4. Step 4: Simplify right side
    1,116.90x = 1,641,535.23
  5. Step 5: Solve for x
    x = 1,641,535.23/1,116.90
  6. Step 6: Final answer
    x = 1,469.72

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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.