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Finding the Fourth Proportional to 766.41, 1,150.29 and 507.21

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Solution

The fourth proportional to 766.41, 1,150.29 and 507.21 is: 761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.41 : 1,150.29 = 507.21 : x
  2. Step 2: Convert to fraction form
    766.41/1,150.29 = 507.21/x
  3. Step 3: Cross multiply
    766.41x = 1,150.29 × 507.21
  4. Step 4: Simplify right side
    766.41x = 583,438.59
  5. Step 5: Solve for x
    x = 583,438.59/766.41
  6. Step 6: Final answer
    x = 761.26

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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.