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Finding the Fourth Proportional to 1,023.71, 1,411.63 and 940.48

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Solution

The fourth proportional to 1,023.71, 1,411.63 and 940.48 is: 1,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.71 : 1,411.63 = 940.48 : x
  2. Step 2: Convert to fraction form
    1,023.71/1,411.63 = 940.48/x
  3. Step 3: Cross multiply
    1,023.71x = 1,411.63 × 940.48
  4. Step 4: Simplify right side
    1,023.71x = 1,327,609.78
  5. Step 5: Solve for x
    x = 1,327,609.78/1,023.71
  6. Step 6: Final answer
    x = 1,296.86

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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.