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Finding the Fourth Proportional to 749.98, 1,035.01 and 413.88

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Solution

The fourth proportional to 749.98, 1,035.01 and 413.88 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.98 : 1,035.01 = 413.88 : x
  2. Step 2: Convert to fraction form
    749.98/1,035.01 = 413.88/x
  3. Step 3: Cross multiply
    749.98x = 1,035.01 × 413.88
  4. Step 4: Simplify right side
    749.98x = 428,369.94
  5. Step 5: Solve for x
    x = 428,369.94/749.98
  6. Step 6: Final answer
    x = 571.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.