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Finding the Fourth Proportional to 766.90, 1,150.08 and 356.23

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Solution

The fourth proportional to 766.90, 1,150.08 and 356.23 is: 534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.90 : 1,150.08 = 356.23 : x
  2. Step 2: Convert to fraction form
    766.90/1,150.08 = 356.23/x
  3. Step 3: Cross multiply
    766.90x = 1,150.08 × 356.23
  4. Step 4: Simplify right side
    766.90x = 409,693.00
  5. Step 5: Solve for x
    x = 409,693.00/766.90
  6. Step 6: Final answer
    x = 534.22

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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.