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Finding the Fourth Proportional to 1,231.34, 1,698.82 and 700.18

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Solution

The fourth proportional to 1,231.34, 1,698.82 and 700.18 is: 966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.34 : 1,698.82 = 700.18 : x
  2. Step 2: Convert to fraction form
    1,231.34/1,698.82 = 700.18/x
  3. Step 3: Cross multiply
    1,231.34x = 1,698.82 × 700.18
  4. Step 4: Simplify right side
    1,231.34x = 1,189,479.79
  5. Step 5: Solve for x
    x = 1,189,479.79/1,231.34
  6. Step 6: Final answer
    x = 966.00

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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.