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Finding the Fourth Proportional to 1,233.29, 1,848.83 and 885.75

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Solution

The fourth proportional to 1,233.29, 1,848.83 and 885.75 is: 1,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.29 : 1,848.83 = 885.75 : x
  2. Step 2: Convert to fraction form
    1,233.29/1,848.83 = 885.75/x
  3. Step 3: Cross multiply
    1,233.29x = 1,848.83 × 885.75
  4. Step 4: Simplify right side
    1,233.29x = 1,637,596.74
  5. Step 5: Solve for x
    x = 1,637,596.74/1,233.29
  6. Step 6: Final answer
    x = 1,327.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.