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Finding the Fourth Proportional to 1,463.61, 2,019.10 and 842.25

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Solution

The fourth proportional to 1,463.61, 2,019.10 and 842.25 is: 1,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.61 : 2,019.10 = 842.25 : x
  2. Step 2: Convert to fraction form
    1,463.61/2,019.10 = 842.25/x
  3. Step 3: Cross multiply
    1,463.61x = 2,019.10 × 842.25
  4. Step 4: Simplify right side
    1,463.61x = 1,700,586.98
  5. Step 5: Solve for x
    x = 1,700,586.98/1,463.61
  6. Step 6: Final answer
    x = 1,161.91

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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.