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Finding the Fourth Proportional to 1,003.06, 1,507.32 and 541.18

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Solution

The fourth proportional to 1,003.06, 1,507.32 and 541.18 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.06 : 1,507.32 = 541.18 : x
  2. Step 2: Convert to fraction form
    1,003.06/1,507.32 = 541.18/x
  3. Step 3: Cross multiply
    1,003.06x = 1,507.32 × 541.18
  4. Step 4: Simplify right side
    1,003.06x = 815,731.44
  5. Step 5: Solve for x
    x = 815,731.44/1,003.06
  6. Step 6: Final answer
    x = 813.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.