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Finding the Fourth Proportional to 1,401.08, 2,101.28 and 413.70

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Solution

The fourth proportional to 1,401.08, 2,101.28 and 413.70 is: 620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.08 : 2,101.28 = 413.70 : x
  2. Step 2: Convert to fraction form
    1,401.08/2,101.28 = 413.70/x
  3. Step 3: Cross multiply
    1,401.08x = 2,101.28 × 413.70
  4. Step 4: Simplify right side
    1,401.08x = 869,297.47
  5. Step 5: Solve for x
    x = 869,297.47/1,401.08
  6. Step 6: Final answer
    x = 620.45

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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.