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Finding the Fourth Proportional to 1,240.02, 1,711.24 and 974.80

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Solution

The fourth proportional to 1,240.02, 1,711.24 and 974.80 is: 1,345.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.02 : 1,711.24 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,240.02/1,711.24 = 974.80/x
  3. Step 3: Cross multiply
    1,240.02x = 1,711.24 × 974.80
  4. Step 4: Simplify right side
    1,240.02x = 1,668,116.75
  5. Step 5: Solve for x
    x = 1,668,116.75/1,240.02
  6. Step 6: Final answer
    x = 1,345.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.