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Finding the Fourth Proportional to 1,248.84, 1,721.12 and 828.45

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Solution

The fourth proportional to 1,248.84, 1,721.12 and 828.45 is: 1,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.84 : 1,721.12 = 828.45 : x
  2. Step 2: Convert to fraction form
    1,248.84/1,721.12 = 828.45/x
  3. Step 3: Cross multiply
    1,248.84x = 1,721.12 × 828.45
  4. Step 4: Simplify right side
    1,248.84x = 1,425,857.72
  5. Step 5: Solve for x
    x = 1,425,857.72/1,248.84
  6. Step 6: Final answer
    x = 1,141.75

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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.