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Finding the Fourth Proportional to 767.32, 1,058.86 and 472.75

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Solution

The fourth proportional to 767.32, 1,058.86 and 472.75 is: 652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.32 : 1,058.86 = 472.75 : x
  2. Step 2: Convert to fraction form
    767.32/1,058.86 = 472.75/x
  3. Step 3: Cross multiply
    767.32x = 1,058.86 × 472.75
  4. Step 4: Simplify right side
    767.32x = 500,576.07
  5. Step 5: Solve for x
    x = 500,576.07/767.32
  6. Step 6: Final answer
    x = 652.37

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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.