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Finding the Fourth Proportional to 767.41, 1,059.12 and 472.77

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Solution

The fourth proportional to 767.41, 1,059.12 and 472.77 is: 652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.41 : 1,059.12 = 472.77 : x
  2. Step 2: Convert to fraction form
    767.41/1,059.12 = 472.77/x
  3. Step 3: Cross multiply
    767.41x = 1,059.12 × 472.77
  4. Step 4: Simplify right side
    767.41x = 500,720.16
  5. Step 5: Solve for x
    x = 500,720.16/767.41
  6. Step 6: Final answer
    x = 652.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.