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Finding the Fourth Proportional to 677.69, 1,016.55 and 403.17

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Solution

The fourth proportional to 677.69, 1,016.55 and 403.17 is: 604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.69 : 1,016.55 = 403.17 : x
  2. Step 2: Convert to fraction form
    677.69/1,016.55 = 403.17/x
  3. Step 3: Cross multiply
    677.69x = 1,016.55 × 403.17
  4. Step 4: Simplify right side
    677.69x = 409,842.46
  5. Step 5: Solve for x
    x = 409,842.46/677.69
  6. Step 6: Final answer
    x = 604.77

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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.