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Finding the Fourth Proportional to 766.19, 1,057.32 and 434.61

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Solution

The fourth proportional to 766.19, 1,057.32 and 434.61 is: 599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.19 : 1,057.32 = 434.61 : x
  2. Step 2: Convert to fraction form
    766.19/1,057.32 = 434.61/x
  3. Step 3: Cross multiply
    766.19x = 1,057.32 × 434.61
  4. Step 4: Simplify right side
    766.19x = 459,521.85
  5. Step 5: Solve for x
    x = 459,521.85/766.19
  6. Step 6: Final answer
    x = 599.75

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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.