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Finding the Fourth Proportional to 1,525.59, 2,287.68 and 485.39

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Solution

The fourth proportional to 1,525.59, 2,287.68 and 485.39 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.59 : 2,287.68 = 485.39 : x
  2. Step 2: Convert to fraction form
    1,525.59/2,287.68 = 485.39/x
  3. Step 3: Cross multiply
    1,525.59x = 2,287.68 × 485.39
  4. Step 4: Simplify right side
    1,525.59x = 1,110,405.56
  5. Step 5: Solve for x
    x = 1,110,405.56/1,525.59
  6. Step 6: Final answer
    x = 727.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.