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Finding the Fourth Proportional to 1,001.57, 1,501.82 and 308.03

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Solution

The fourth proportional to 1,001.57, 1,501.82 and 308.03 is: 461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.57 : 1,501.82 = 308.03 : x
  2. Step 2: Convert to fraction form
    1,001.57/1,501.82 = 308.03/x
  3. Step 3: Cross multiply
    1,001.57x = 1,501.82 × 308.03
  4. Step 4: Simplify right side
    1,001.57x = 462,604.07
  5. Step 5: Solve for x
    x = 462,604.07/1,001.57
  6. Step 6: Final answer
    x = 461.88

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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.