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Finding the Fourth Proportional to 753.93, 1,040.39 and 413.25

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Solution

The fourth proportional to 753.93, 1,040.39 and 413.25 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.93 : 1,040.39 = 413.25 : x
  2. Step 2: Convert to fraction form
    753.93/1,040.39 = 413.25/x
  3. Step 3: Cross multiply
    753.93x = 1,040.39 × 413.25
  4. Step 4: Simplify right side
    753.93x = 429,933.90
  5. Step 5: Solve for x
    x = 429,933.90/753.93
  6. Step 6: Final answer
    x = 570.26

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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.