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Finding the Fourth Proportional to 1,154.33, 1,731.15 and 413.82

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Solution

The fourth proportional to 1,154.33, 1,731.15 and 413.82 is: 620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.33 : 1,731.15 = 413.82 : x
  2. Step 2: Convert to fraction form
    1,154.33/1,731.15 = 413.82/x
  3. Step 3: Cross multiply
    1,154.33x = 1,731.15 × 413.82
  4. Step 4: Simplify right side
    1,154.33x = 716,385.76
  5. Step 5: Solve for x
    x = 716,385.76/1,154.33
  6. Step 6: Final answer
    x = 620.61

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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.