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Finding the Fourth Proportional to 1,338.06, 2,007.10 and 413.59

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Solution

The fourth proportional to 1,338.06, 2,007.10 and 413.59 is: 620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.06 : 2,007.10 = 413.59 : x
  2. Step 2: Convert to fraction form
    1,338.06/2,007.10 = 413.59/x
  3. Step 3: Cross multiply
    1,338.06x = 2,007.10 × 413.59
  4. Step 4: Simplify right side
    1,338.06x = 830,125.38
  5. Step 5: Solve for x
    x = 830,125.38/1,338.06
  6. Step 6: Final answer
    x = 620.40

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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.