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Finding the Fourth Proportional to 1,233.18, 1,698.89 and 859.49

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Solution

The fourth proportional to 1,233.18, 1,698.89 and 859.49 is: 1,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.18 : 1,698.89 = 859.49 : x
  2. Step 2: Convert to fraction form
    1,233.18/1,698.89 = 859.49/x
  3. Step 3: Cross multiply
    1,233.18x = 1,698.89 × 859.49
  4. Step 4: Simplify right side
    1,233.18x = 1,460,170.47
  5. Step 5: Solve for x
    x = 1,460,170.47/1,233.18
  6. Step 6: Final answer
    x = 1,184.07

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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.