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Finding the Fourth Proportional to 1,448.97, 2,174.04 and 524.95

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Solution

The fourth proportional to 1,448.97, 2,174.04 and 524.95 is: 787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.97 : 2,174.04 = 524.95 : x
  2. Step 2: Convert to fraction form
    1,448.97/2,174.04 = 524.95/x
  3. Step 3: Cross multiply
    1,448.97x = 2,174.04 × 524.95
  4. Step 4: Simplify right side
    1,448.97x = 1,141,262.30
  5. Step 5: Solve for x
    x = 1,141,262.30/1,448.97
  6. Step 6: Final answer
    x = 787.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.