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Finding the Fourth Proportional to 1,288.86, 1,932.42 and 630.48

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Solution

The fourth proportional to 1,288.86, 1,932.42 and 630.48 is: 945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.86 : 1,932.42 = 630.48 : x
  2. Step 2: Convert to fraction form
    1,288.86/1,932.42 = 630.48/x
  3. Step 3: Cross multiply
    1,288.86x = 1,932.42 × 630.48
  4. Step 4: Simplify right side
    1,288.86x = 1,218,352.16
  5. Step 5: Solve for x
    x = 1,218,352.16/1,288.86
  6. Step 6: Final answer
    x = 945.29

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1.5x scale

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.