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Finding the Fourth Proportional to 803.02, 1,202.14 and 493.88

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Solution

The fourth proportional to 803.02, 1,202.14 and 493.88 is: 739.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.02 : 1,202.14 = 493.88 : x
  2. Step 2: Convert to fraction form
    803.02/1,202.14 = 493.88/x
  3. Step 3: Cross multiply
    803.02x = 1,202.14 × 493.88
  4. Step 4: Simplify right side
    803.02x = 593,712.90
  5. Step 5: Solve for x
    x = 593,712.90/803.02
  6. Step 6: Final answer
    x = 739.35

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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.