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Finding the Fourth Proportional to 1,480.29, 2,042.76 and 817.09

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Solution

The fourth proportional to 1,480.29, 2,042.76 and 817.09 is: 1,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.29 : 2,042.76 = 817.09 : x
  2. Step 2: Convert to fraction form
    1,480.29/2,042.76 = 817.09/x
  3. Step 3: Cross multiply
    1,480.29x = 2,042.76 × 817.09
  4. Step 4: Simplify right side
    1,480.29x = 1,669,118.26
  5. Step 5: Solve for x
    x = 1,669,118.26/1,480.29
  6. Step 6: Final answer
    x = 1,127.56

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1.5x scale

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.