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Finding the Fourth Proportional to 761.16, 1,141.03 and 413.98

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Solution

The fourth proportional to 761.16, 1,141.03 and 413.98 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.16 : 1,141.03 = 413.98 : x
  2. Step 2: Convert to fraction form
    761.16/1,141.03 = 413.98/x
  3. Step 3: Cross multiply
    761.16x = 1,141.03 × 413.98
  4. Step 4: Simplify right side
    761.16x = 472,363.60
  5. Step 5: Solve for x
    x = 472,363.60/761.16
  6. Step 6: Final answer
    x = 620.58

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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.