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Finding the Fourth Proportional to 1,525.82, 2,288.73 and 485.83

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Solution

The fourth proportional to 1,525.82, 2,288.73 and 485.83 is: 728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.82 : 2,288.73 = 485.83 : x
  2. Step 2: Convert to fraction form
    1,525.82/2,288.73 = 485.83/x
  3. Step 3: Cross multiply
    1,525.82x = 2,288.73 × 485.83
  4. Step 4: Simplify right side
    1,525.82x = 1,111,933.70
  5. Step 5: Solve for x
    x = 1,111,933.70/1,525.82
  6. Step 6: Final answer
    x = 728.75

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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.