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Finding the Fourth Proportional to 1,424.88, 1,965.48 and 864.96

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Solution

The fourth proportional to 1,424.88, 1,965.48 and 864.96 is: 1,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.88 : 1,965.48 = 864.96 : x
  2. Step 2: Convert to fraction form
    1,424.88/1,965.48 = 864.96/x
  3. Step 3: Cross multiply
    1,424.88x = 1,965.48 × 864.96
  4. Step 4: Simplify right side
    1,424.88x = 1,700,061.58
  5. Step 5: Solve for x
    x = 1,700,061.58/1,424.88
  6. Step 6: Final answer
    x = 1,193.13

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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.