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Finding the Fourth Proportional to 767.31, 1,058.90 and 456.75

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Solution

The fourth proportional to 767.31, 1,058.90 and 456.75 is: 630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.31 : 1,058.90 = 456.75 : x
  2. Step 2: Convert to fraction form
    767.31/1,058.90 = 456.75/x
  3. Step 3: Cross multiply
    767.31x = 1,058.90 × 456.75
  4. Step 4: Simplify right side
    767.31x = 483,650.29
  5. Step 5: Solve for x
    x = 483,650.29/767.31
  6. Step 6: Final answer
    x = 630.32

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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.