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Finding the Fourth Proportional to 1,424.51, 1,965.95 and 827.22

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Solution

The fourth proportional to 1,424.51, 1,965.95 and 827.22 is: 1,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.51 : 1,965.95 = 827.22 : x
  2. Step 2: Convert to fraction form
    1,424.51/1,965.95 = 827.22/x
  3. Step 3: Cross multiply
    1,424.51x = 1,965.95 × 827.22
  4. Step 4: Simplify right side
    1,424.51x = 1,626,273.16
  5. Step 5: Solve for x
    x = 1,626,273.16/1,424.51
  6. Step 6: Final answer
    x = 1,141.64

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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.