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Finding the Fourth Proportional to 767.77, 1,150.17 and 474.41

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Solution

The fourth proportional to 767.77, 1,150.17 and 474.41 is: 710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.77 : 1,150.17 = 474.41 : x
  2. Step 2: Convert to fraction form
    767.77/1,150.17 = 474.41/x
  3. Step 3: Cross multiply
    767.77x = 1,150.17 × 474.41
  4. Step 4: Simplify right side
    767.77x = 545,652.15
  5. Step 5: Solve for x
    x = 545,652.15/767.77
  6. Step 6: Final answer
    x = 710.70

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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.