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Finding the Fourth Proportional to 1,222.48, 1,686.58 and 698.21

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Solution

The fourth proportional to 1,222.48, 1,686.58 and 698.21 is: 963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.48 : 1,686.58 = 698.21 : x
  2. Step 2: Convert to fraction form
    1,222.48/1,686.58 = 698.21/x
  3. Step 3: Cross multiply
    1,222.48x = 1,686.58 × 698.21
  4. Step 4: Simplify right side
    1,222.48x = 1,177,587.02
  5. Step 5: Solve for x
    x = 1,177,587.02/1,222.48
  6. Step 6: Final answer
    x = 963.28

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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.