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Finding the Fourth Proportional to 846.24, 1,267.56 and 789.28

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Solution

The fourth proportional to 846.24, 1,267.56 and 789.28 is: 1,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.24 : 1,267.56 = 789.28 : x
  2. Step 2: Convert to fraction form
    846.24/1,267.56 = 789.28/x
  3. Step 3: Cross multiply
    846.24x = 1,267.56 × 789.28
  4. Step 4: Simplify right side
    846.24x = 1,000,459.76
  5. Step 5: Solve for x
    x = 1,000,459.76/846.24
  6. Step 6: Final answer
    x = 1,182.24

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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.