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Finding the Fourth Proportional to 1,520.12, 2,281.47 and 596.32

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Solution

The fourth proportional to 1,520.12, 2,281.47 and 596.32 is: 894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.12 : 2,281.47 = 596.32 : x
  2. Step 2: Convert to fraction form
    1,520.12/2,281.47 = 596.32/x
  3. Step 3: Cross multiply
    1,520.12x = 2,281.47 × 596.32
  4. Step 4: Simplify right side
    1,520.12x = 1,360,471.80
  5. Step 5: Solve for x
    x = 1,360,471.80/1,520.12
  6. Step 6: Final answer
    x = 894.98

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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.