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Finding the Fourth Proportional to 1,536.37, 2,305.53 and 611.75

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Solution

The fourth proportional to 1,536.37, 2,305.53 and 611.75 is: 918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.37 : 2,305.53 = 611.75 : x
  2. Step 2: Convert to fraction form
    1,536.37/2,305.53 = 611.75/x
  3. Step 3: Cross multiply
    1,536.37x = 2,305.53 × 611.75
  4. Step 4: Simplify right side
    1,536.37x = 1,410,413.74
  5. Step 5: Solve for x
    x = 1,410,413.74/1,536.37
  6. Step 6: Final answer
    x = 918.02

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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.