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Finding the Fourth Proportional to 1,324.82, 1,827.22 and 926.36

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Solution

The fourth proportional to 1,324.82, 1,827.22 and 926.36 is: 1,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.82 : 1,827.22 = 926.36 : x
  2. Step 2: Convert to fraction form
    1,324.82/1,827.22 = 926.36/x
  3. Step 3: Cross multiply
    1,324.82x = 1,827.22 × 926.36
  4. Step 4: Simplify right side
    1,324.82x = 1,692,652.07
  5. Step 5: Solve for x
    x = 1,692,652.07/1,324.82
  6. Step 6: Final answer
    x = 1,277.64

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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.