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Finding the Fourth Proportional to 677.67, 1,011.62 and 626.24

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Solution

The fourth proportional to 677.67, 1,011.62 and 626.24 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 1,011.62 = 626.24 : x
  2. Step 2: Convert to fraction form
    677.67/1,011.62 = 626.24/x
  3. Step 3: Cross multiply
    677.67x = 1,011.62 × 626.24
  4. Step 4: Simplify right side
    677.67x = 633,508.72
  5. Step 5: Solve for x
    x = 633,508.72/677.67
  6. Step 6: Final answer
    x = 934.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.