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Finding the Fourth Proportional to 1,296.72, 1,789.20 and 772.92

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Solution

The fourth proportional to 1,296.72, 1,789.20 and 772.92 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.72 : 1,789.20 = 772.92 : x
  2. Step 2: Convert to fraction form
    1,296.72/1,789.20 = 772.92/x
  3. Step 3: Cross multiply
    1,296.72x = 1,789.20 × 772.92
  4. Step 4: Simplify right side
    1,296.72x = 1,382,908.46
  5. Step 5: Solve for x
    x = 1,382,908.46/1,296.72
  6. Step 6: Final answer
    x = 1,066.47

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1.5x scale

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.