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Finding the Fourth Proportional to 1,214.50, 1,676.28 and 772.32

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Solution

The fourth proportional to 1,214.50, 1,676.28 and 772.32 is: 1,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.50 : 1,676.28 = 772.32 : x
  2. Step 2: Convert to fraction form
    1,214.50/1,676.28 = 772.32/x
  3. Step 3: Cross multiply
    1,214.50x = 1,676.28 × 772.32
  4. Step 4: Simplify right side
    1,214.50x = 1,294,624.57
  5. Step 5: Solve for x
    x = 1,294,624.57/1,214.50
  6. Step 6: Final answer
    x = 1,065.97

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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.