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Finding the Fourth Proportional to 1,480.22, 2,042.68 and 817.07

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Solution

The fourth proportional to 1,480.22, 2,042.68 and 817.07 is: 1,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.22 : 2,042.68 = 817.07 : x
  2. Step 2: Convert to fraction form
    1,480.22/2,042.68 = 817.07/x
  3. Step 3: Cross multiply
    1,480.22x = 2,042.68 × 817.07
  4. Step 4: Simplify right side
    1,480.22x = 1,669,012.55
  5. Step 5: Solve for x
    x = 1,669,012.55/1,480.22
  6. Step 6: Final answer
    x = 1,127.54

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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.