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Finding the Fourth Proportional to 1,214.91, 1,676.04 and 772.58

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Solution

The fourth proportional to 1,214.91, 1,676.04 and 772.58 is: 1,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.91 : 1,676.04 = 772.58 : x
  2. Step 2: Convert to fraction form
    1,214.91/1,676.04 = 772.58/x
  3. Step 3: Cross multiply
    1,214.91x = 1,676.04 × 772.58
  4. Step 4: Simplify right side
    1,214.91x = 1,294,874.98
  5. Step 5: Solve for x
    x = 1,294,874.98/1,214.91
  6. Step 6: Final answer
    x = 1,065.82

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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.