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Finding the Fourth Proportional to 1,015.86, 1,523.66 and 275.53

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Solution

The fourth proportional to 1,015.86, 1,523.66 and 275.53 is: 413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.86 : 1,523.66 = 275.53 : x
  2. Step 2: Convert to fraction form
    1,015.86/1,523.66 = 275.53/x
  3. Step 3: Cross multiply
    1,015.86x = 1,523.66 × 275.53
  4. Step 4: Simplify right side
    1,015.86x = 419,808.97
  5. Step 5: Solve for x
    x = 419,808.97/1,015.86
  6. Step 6: Final answer
    x = 413.26

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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.