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Finding the Fourth Proportional to 1,222.19, 1,686.62 and 698.19

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Solution

The fourth proportional to 1,222.19, 1,686.62 and 698.19 is: 963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.19 : 1,686.62 = 698.19 : x
  2. Step 2: Convert to fraction form
    1,222.19/1,686.62 = 698.19/x
  3. Step 3: Cross multiply
    1,222.19x = 1,686.62 × 698.19
  4. Step 4: Simplify right side
    1,222.19x = 1,177,577.73
  5. Step 5: Solve for x
    x = 1,177,577.73/1,222.19
  6. Step 6: Final answer
    x = 963.50

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Half scale
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Double scale
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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.