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Finding the Fourth Proportional to 1,003.78, 1,506.30 and 541.87

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Solution

The fourth proportional to 1,003.78, 1,506.30 and 541.87 is: 813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.78 : 1,506.30 = 541.87 : x
  2. Step 2: Convert to fraction form
    1,003.78/1,506.30 = 541.87/x
  3. Step 3: Cross multiply
    1,003.78x = 1,506.30 × 541.87
  4. Step 4: Simplify right side
    1,003.78x = 816,218.28
  5. Step 5: Solve for x
    x = 816,218.28/1,003.78
  6. Step 6: Final answer
    x = 813.14

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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.