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Finding the Fourth Proportional to 1,356.82, 2,033.65 and 624.86

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Solution

The fourth proportional to 1,356.82, 2,033.65 and 624.86 is: 936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.82 : 2,033.65 = 624.86 : x
  2. Step 2: Convert to fraction form
    1,356.82/2,033.65 = 624.86/x
  3. Step 3: Cross multiply
    1,356.82x = 2,033.65 × 624.86
  4. Step 4: Simplify right side
    1,356.82x = 1,270,737.93
  5. Step 5: Solve for x
    x = 1,270,737.93/1,356.82
  6. Step 6: Final answer
    x = 936.56

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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.