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Finding the Fourth Proportional to 1,252.84, 1,729.58 and 880.14

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Solution

The fourth proportional to 1,252.84, 1,729.58 and 880.14 is: 1,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.84 : 1,729.58 = 880.14 : x
  2. Step 2: Convert to fraction form
    1,252.84/1,729.58 = 880.14/x
  3. Step 3: Cross multiply
    1,252.84x = 1,729.58 × 880.14
  4. Step 4: Simplify right side
    1,252.84x = 1,522,272.54
  5. Step 5: Solve for x
    x = 1,522,272.54/1,252.84
  6. Step 6: Final answer
    x = 1,215.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.