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Finding the Fourth Proportional to 1,507.27, 2,261.16 and 467.03

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Solution

The fourth proportional to 1,507.27, 2,261.16 and 467.03 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.27 : 2,261.16 = 467.03 : x
  2. Step 2: Convert to fraction form
    1,507.27/2,261.16 = 467.03/x
  3. Step 3: Cross multiply
    1,507.27x = 2,261.16 × 467.03
  4. Step 4: Simplify right side
    1,507.27x = 1,056,015.91
  5. Step 5: Solve for x
    x = 1,056,015.91/1,507.27
  6. Step 6: Final answer
    x = 700.61

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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.