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Finding the Fourth Proportional to 774.04, 1,160.04 and 676.30

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Solution

The fourth proportional to 774.04, 1,160.04 and 676.30 is: 1,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.04 : 1,160.04 = 676.30 : x
  2. Step 2: Convert to fraction form
    774.04/1,160.04 = 676.30/x
  3. Step 3: Cross multiply
    774.04x = 1,160.04 × 676.30
  4. Step 4: Simplify right side
    774.04x = 784,535.05
  5. Step 5: Solve for x
    x = 784,535.05/774.04
  6. Step 6: Final answer
    x = 1,013.56

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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.