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Finding the Fourth Proportional to 600.96, 900.02 and 590.92

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Solution

The fourth proportional to 600.96, 900.02 and 590.92 is: 884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.96 : 900.02 = 590.92 : x
  2. Step 2: Convert to fraction form
    600.96/900.02 = 590.92/x
  3. Step 3: Cross multiply
    600.96x = 900.02 × 590.92
  4. Step 4: Simplify right side
    600.96x = 531,839.82
  5. Step 5: Solve for x
    x = 531,839.82/600.96
  6. Step 6: Final answer
    x = 884.98

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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.