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Finding the Fourth Proportional to 759.20, 1,133.47 and 649.56

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Solution

The fourth proportional to 759.20, 1,133.47 and 649.56 is: 969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.20 : 1,133.47 = 649.56 : x
  2. Step 2: Convert to fraction form
    759.20/1,133.47 = 649.56/x
  3. Step 3: Cross multiply
    759.20x = 1,133.47 × 649.56
  4. Step 4: Simplify right side
    759.20x = 736,256.77
  5. Step 5: Solve for x
    x = 736,256.77/759.20
  6. Step 6: Final answer
    x = 969.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.