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Finding the Fourth Proportional to 1,062.83, 1,592.58 and 413.21

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Solution

The fourth proportional to 1,062.83, 1,592.58 and 413.21 is: 619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.83 : 1,592.58 = 413.21 : x
  2. Step 2: Convert to fraction form
    1,062.83/1,592.58 = 413.21/x
  3. Step 3: Cross multiply
    1,062.83x = 1,592.58 × 413.21
  4. Step 4: Simplify right side
    1,062.83x = 658,069.98
  5. Step 5: Solve for x
    x = 658,069.98/1,062.83
  6. Step 6: Final answer
    x = 619.17

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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.