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Finding the Fourth Proportional to 767.18, 1,150.95 and 474.77

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Solution

The fourth proportional to 767.18, 1,150.95 and 474.77 is: 712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.18 : 1,150.95 = 474.77 : x
  2. Step 2: Convert to fraction form
    767.18/1,150.95 = 474.77/x
  3. Step 3: Cross multiply
    767.18x = 1,150.95 × 474.77
  4. Step 4: Simplify right side
    767.18x = 546,436.53
  5. Step 5: Solve for x
    x = 546,436.53/767.18
  6. Step 6: Final answer
    x = 712.27

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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.