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Finding the Fourth Proportional to 674.19, 1,010.14 and 413.65

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Solution

The fourth proportional to 674.19, 1,010.14 and 413.65 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 1,010.14 = 413.65 : x
  2. Step 2: Convert to fraction form
    674.19/1,010.14 = 413.65/x
  3. Step 3: Cross multiply
    674.19x = 1,010.14 × 413.65
  4. Step 4: Simplify right side
    674.19x = 417,844.41
  5. Step 5: Solve for x
    x = 417,844.41/674.19
  6. Step 6: Final answer
    x = 619.77

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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.