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Finding the Fourth Proportional to 1,002.83, 1,496.81 and 941.27

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Solution

The fourth proportional to 1,002.83, 1,496.81 and 941.27 is: 1,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.83 : 1,496.81 = 941.27 : x
  2. Step 2: Convert to fraction form
    1,002.83/1,496.81 = 941.27/x
  3. Step 3: Cross multiply
    1,002.83x = 1,496.81 × 941.27
  4. Step 4: Simplify right side
    1,002.83x = 1,408,897.64
  5. Step 5: Solve for x
    x = 1,408,897.64/1,002.83
  6. Step 6: Final answer
    x = 1,404.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.