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Finding the Fourth Proportional to 1,063.17, 1,594.13 and 413.15

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Solution

The fourth proportional to 1,063.17, 1,594.13 and 413.15 is: 619.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.17 : 1,594.13 = 413.15 : x
  2. Step 2: Convert to fraction form
    1,063.17/1,594.13 = 413.15/x
  3. Step 3: Cross multiply
    1,063.17x = 1,594.13 × 413.15
  4. Step 4: Simplify right side
    1,063.17x = 658,604.77
  5. Step 5: Solve for x
    x = 658,604.77/1,063.17
  6. Step 6: Final answer
    x = 619.47

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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.