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Finding the Fourth Proportional to 1,414.51, 1,952.13 and 824.92

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Solution

The fourth proportional to 1,414.51, 1,952.13 and 824.92 is: 1,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.51 : 1,952.13 = 824.92 : x
  2. Step 2: Convert to fraction form
    1,414.51/1,952.13 = 824.92/x
  3. Step 3: Cross multiply
    1,414.51x = 1,952.13 × 824.92
  4. Step 4: Simplify right side
    1,414.51x = 1,610,351.08
  5. Step 5: Solve for x
    x = 1,610,351.08/1,414.51
  6. Step 6: Final answer
    x = 1,138.45

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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.