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Finding the Fourth Proportional to 1,206.62, 1,665.06 and 675.44

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Solution

The fourth proportional to 1,206.62, 1,665.06 and 675.44 is: 932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.62 : 1,665.06 = 675.44 : x
  2. Step 2: Convert to fraction form
    1,206.62/1,665.06 = 675.44/x
  3. Step 3: Cross multiply
    1,206.62x = 1,665.06 × 675.44
  4. Step 4: Simplify right side
    1,206.62x = 1,124,648.13
  5. Step 5: Solve for x
    x = 1,124,648.13/1,206.62
  6. Step 6: Final answer
    x = 932.06

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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.