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Finding the Fourth Proportional to 934.18, 1,400.04 and 413.56

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Solution

The fourth proportional to 934.18, 1,400.04 and 413.56 is: 619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.18 : 1,400.04 = 413.56 : x
  2. Step 2: Convert to fraction form
    934.18/1,400.04 = 413.56/x
  3. Step 3: Cross multiply
    934.18x = 1,400.04 × 413.56
  4. Step 4: Simplify right side
    934.18x = 579,000.54
  5. Step 5: Solve for x
    x = 579,000.54/934.18
  6. Step 6: Final answer
    x = 619.80

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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.