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Finding the Fourth Proportional to 1,182.57, 1,773.86 and 413.07

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Solution

The fourth proportional to 1,182.57, 1,773.86 and 413.07 is: 619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.57 : 1,773.86 = 413.07 : x
  2. Step 2: Convert to fraction form
    1,182.57/1,773.86 = 413.07/x
  3. Step 3: Cross multiply
    1,182.57x = 1,773.86 × 413.07
  4. Step 4: Simplify right side
    1,182.57x = 732,726.28
  5. Step 5: Solve for x
    x = 732,726.28/1,182.57
  6. Step 6: Final answer
    x = 619.61

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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.