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Finding the Fourth Proportional to 1,359.18, 2,038.80 and 333.18

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Solution

The fourth proportional to 1,359.18, 2,038.80 and 333.18 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.18 : 2,038.80 = 333.18 : x
  2. Step 2: Convert to fraction form
    1,359.18/2,038.80 = 333.18/x
  3. Step 3: Cross multiply
    1,359.18x = 2,038.80 × 333.18
  4. Step 4: Simplify right side
    1,359.18x = 679,287.38
  5. Step 5: Solve for x
    x = 679,287.38/1,359.18
  6. Step 6: Final answer
    x = 499.78

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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.