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Finding the Fourth Proportional to 1,509.52, 2,264.63 and 687.92

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Solution

The fourth proportional to 1,509.52, 2,264.63 and 687.92 is: 1,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.52 : 2,264.63 = 687.92 : x
  2. Step 2: Convert to fraction form
    1,509.52/2,264.63 = 687.92/x
  3. Step 3: Cross multiply
    1,509.52x = 2,264.63 × 687.92
  4. Step 4: Simplify right side
    1,509.52x = 1,557,884.27
  5. Step 5: Solve for x
    x = 1,557,884.27/1,509.52
  6. Step 6: Final answer
    x = 1,032.04

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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.