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Finding the Fourth Proportional to 744.95, 1,122.71 and 744.95

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Solution

The fourth proportional to 744.95, 1,122.71 and 744.95 is: 1,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.95 : 1,122.71 = 744.95 : x
  2. Step 2: Convert to fraction form
    744.95/1,122.71 = 744.95/x
  3. Step 3: Cross multiply
    744.95x = 1,122.71 × 744.95
  4. Step 4: Simplify right side
    744.95x = 836,359.77
  5. Step 5: Solve for x
    x = 836,359.77/744.95
  6. Step 6: Final answer
    x = 1,122.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.