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Finding the Fourth Proportional to 766.75, 1,058.36 and 456.19

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Solution

The fourth proportional to 766.75, 1,058.36 and 456.19 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.75 : 1,058.36 = 456.19 : x
  2. Step 2: Convert to fraction form
    766.75/1,058.36 = 456.19/x
  3. Step 3: Cross multiply
    766.75x = 1,058.36 × 456.19
  4. Step 4: Simplify right side
    766.75x = 482,810.97
  5. Step 5: Solve for x
    x = 482,810.97/766.75
  6. Step 6: Final answer
    x = 629.68

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Double scale
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1.5x scale

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.