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Finding the Fourth Proportional to 1,379.69, 2,066.55 and 648.17

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Solution

The fourth proportional to 1,379.69, 2,066.55 and 648.17 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.69 : 2,066.55 = 648.17 : x
  2. Step 2: Convert to fraction form
    1,379.69/2,066.55 = 648.17/x
  3. Step 3: Cross multiply
    1,379.69x = 2,066.55 × 648.17
  4. Step 4: Simplify right side
    1,379.69x = 1,339,465.38
  5. Step 5: Solve for x
    x = 1,339,465.38/1,379.69
  6. Step 6: Final answer
    x = 970.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.