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Finding the Fourth Proportional to 1,114.06, 1,671.16 and 333.98

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Solution

The fourth proportional to 1,114.06, 1,671.16 and 333.98 is: 500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.06 : 1,671.16 = 333.98 : x
  2. Step 2: Convert to fraction form
    1,114.06/1,671.16 = 333.98/x
  3. Step 3: Cross multiply
    1,114.06x = 1,671.16 × 333.98
  4. Step 4: Simplify right side
    1,114.06x = 558,134.02
  5. Step 5: Solve for x
    x = 558,134.02/1,114.06
  6. Step 6: Final answer
    x = 500.99

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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.