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Finding the Fourth Proportional to 759.48, 1,141.27 and 413.07

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Solution

The fourth proportional to 759.48, 1,141.27 and 413.07 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.48 : 1,141.27 = 413.07 : x
  2. Step 2: Convert to fraction form
    759.48/1,141.27 = 413.07/x
  3. Step 3: Cross multiply
    759.48x = 1,141.27 × 413.07
  4. Step 4: Simplify right side
    759.48x = 471,421.41
  5. Step 5: Solve for x
    x = 471,421.41/759.48
  6. Step 6: Final answer
    x = 620.72

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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.