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Finding the Fourth Proportional to 771.56, 1,155.30 and 649.52

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Solution

The fourth proportional to 771.56, 1,155.30 and 649.52 is: 972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.56 : 1,155.30 = 649.52 : x
  2. Step 2: Convert to fraction form
    771.56/1,155.30 = 649.52/x
  3. Step 3: Cross multiply
    771.56x = 1,155.30 × 649.52
  4. Step 4: Simplify right side
    771.56x = 750,390.46
  5. Step 5: Solve for x
    x = 750,390.46/771.56
  6. Step 6: Final answer
    x = 972.56

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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.