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Finding the Fourth Proportional to 997.58, 1,495.37 and 413.01

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Solution

The fourth proportional to 997.58, 1,495.37 and 413.01 is: 619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.58 : 1,495.37 = 413.01 : x
  2. Step 2: Convert to fraction form
    997.58/1,495.37 = 413.01/x
  3. Step 3: Cross multiply
    997.58x = 1,495.37 × 413.01
  4. Step 4: Simplify right side
    997.58x = 617,600.70
  5. Step 5: Solve for x
    x = 617,600.70/997.58
  6. Step 6: Final answer
    x = 619.10

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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.