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Finding the Fourth Proportional to 650.08, 974.58 and 598.82

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Solution

The fourth proportional to 650.08, 974.58 and 598.82 is: 897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.08 : 974.58 = 598.82 : x
  2. Step 2: Convert to fraction form
    650.08/974.58 = 598.82/x
  3. Step 3: Cross multiply
    650.08x = 974.58 × 598.82
  4. Step 4: Simplify right side
    650.08x = 583,598.00
  5. Step 5: Solve for x
    x = 583,598.00/650.08
  6. Step 6: Final answer
    x = 897.73

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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.