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Finding the Fourth Proportional to 1,221.99, 1,686.18 and 690.79

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Solution

The fourth proportional to 1,221.99, 1,686.18 and 690.79 is: 953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.99 : 1,686.18 = 690.79 : x
  2. Step 2: Convert to fraction form
    1,221.99/1,686.18 = 690.79/x
  3. Step 3: Cross multiply
    1,221.99x = 1,686.18 × 690.79
  4. Step 4: Simplify right side
    1,221.99x = 1,164,796.28
  5. Step 5: Solve for x
    x = 1,164,796.28/1,221.99
  6. Step 6: Final answer
    x = 953.20

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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.