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Finding the Fourth Proportional to 1,154.28, 1,730.97 and 413.88

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Solution

The fourth proportional to 1,154.28, 1,730.97 and 413.88 is: 620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.28 : 1,730.97 = 413.88 : x
  2. Step 2: Convert to fraction form
    1,154.28/1,730.97 = 413.88/x
  3. Step 3: Cross multiply
    1,154.28x = 1,730.97 × 413.88
  4. Step 4: Simplify right side
    1,154.28x = 716,413.86
  5. Step 5: Solve for x
    x = 716,413.86/1,154.28
  6. Step 6: Final answer
    x = 620.66

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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.