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Finding the Fourth Proportional to 1,103.85, 1,654.97 and 583.43

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Solution

The fourth proportional to 1,103.85, 1,654.97 and 583.43 is: 874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.85 : 1,654.97 = 583.43 : x
  2. Step 2: Convert to fraction form
    1,103.85/1,654.97 = 583.43/x
  3. Step 3: Cross multiply
    1,103.85x = 1,654.97 × 583.43
  4. Step 4: Simplify right side
    1,103.85x = 965,547.96
  5. Step 5: Solve for x
    x = 965,547.96/1,103.85
  6. Step 6: Final answer
    x = 874.71

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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.