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Finding the Fourth Proportional to 766.67, 1,150.04 and 559.08

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Solution

The fourth proportional to 766.67, 1,150.04 and 559.08 is: 838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.67 : 1,150.04 = 559.08 : x
  2. Step 2: Convert to fraction form
    766.67/1,150.04 = 559.08/x
  3. Step 3: Cross multiply
    766.67x = 1,150.04 × 559.08
  4. Step 4: Simplify right side
    766.67x = 642,965.76
  5. Step 5: Solve for x
    x = 642,965.76/766.67
  6. Step 6: Final answer
    x = 838.65

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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.