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Finding the Fourth Proportional to 1,069.48, 1,601.92 and 952.64

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Solution

The fourth proportional to 1,069.48, 1,601.92 and 952.64 is: 1,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.48 : 1,601.92 = 952.64 : x
  2. Step 2: Convert to fraction form
    1,069.48/1,601.92 = 952.64/x
  3. Step 3: Cross multiply
    1,069.48x = 1,601.92 × 952.64
  4. Step 4: Simplify right side
    1,069.48x = 1,526,053.07
  5. Step 5: Solve for x
    x = 1,526,053.07/1,069.48
  6. Step 6: Final answer
    x = 1,426.91

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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.