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Finding the Fourth Proportional to 1,222.55, 1,686.98 and 698.48

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Solution

The fourth proportional to 1,222.55, 1,686.98 and 698.48 is: 963.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.55 : 1,686.98 = 698.48 : x
  2. Step 2: Convert to fraction form
    1,222.55/1,686.98 = 698.48/x
  3. Step 3: Cross multiply
    1,222.55x = 1,686.98 × 698.48
  4. Step 4: Simplify right side
    1,222.55x = 1,178,309.86
  5. Step 5: Solve for x
    x = 1,178,309.86/1,222.55
  6. Step 6: Final answer
    x = 963.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.