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Finding the Fourth Proportional to 1,525.57, 2,288.42 and 485.55

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Solution

The fourth proportional to 1,525.57, 2,288.42 and 485.55 is: 728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.57 : 2,288.42 = 485.55 : x
  2. Step 2: Convert to fraction form
    1,525.57/2,288.42 = 485.55/x
  3. Step 3: Cross multiply
    1,525.57x = 2,288.42 × 485.55
  4. Step 4: Simplify right side
    1,525.57x = 1,111,142.33
  5. Step 5: Solve for x
    x = 1,111,142.33/1,525.57
  6. Step 6: Final answer
    x = 728.35

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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.