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Finding the Fourth Proportional to 803.42, 1,202.84 and 598.94

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Solution

The fourth proportional to 803.42, 1,202.84 and 598.94 is: 896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.42 : 1,202.84 = 598.94 : x
  2. Step 2: Convert to fraction form
    803.42/1,202.84 = 598.94/x
  3. Step 3: Cross multiply
    803.42x = 1,202.84 × 598.94
  4. Step 4: Simplify right side
    803.42x = 720,425.99
  5. Step 5: Solve for x
    x = 720,425.99/803.42
  6. Step 6: Final answer
    x = 896.70

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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.