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Finding the Fourth Proportional to 1,003.19, 1,505.25 and 309.96

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Solution

The fourth proportional to 1,003.19, 1,505.25 and 309.96 is: 465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.19 : 1,505.25 = 309.96 : x
  2. Step 2: Convert to fraction form
    1,003.19/1,505.25 = 309.96/x
  3. Step 3: Cross multiply
    1,003.19x = 1,505.25 × 309.96
  4. Step 4: Simplify right side
    1,003.19x = 466,567.29
  5. Step 5: Solve for x
    x = 466,567.29/1,003.19
  6. Step 6: Final answer
    x = 465.09

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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.