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Finding the Fourth Proportional to 813.52, 1,122.76 and 744.40

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Solution

The fourth proportional to 813.52, 1,122.76 and 744.40 is: 1,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.52 : 1,122.76 = 744.40 : x
  2. Step 2: Convert to fraction form
    813.52/1,122.76 = 744.40/x
  3. Step 3: Cross multiply
    813.52x = 1,122.76 × 744.40
  4. Step 4: Simplify right side
    813.52x = 835,782.54
  5. Step 5: Solve for x
    x = 835,782.54/813.52
  6. Step 6: Final answer
    x = 1,027.37

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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.