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Finding the Fourth Proportional to 805.03, 1,205.48 and 557.88

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Solution

The fourth proportional to 805.03, 1,205.48 and 557.88 is: 835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.03 : 1,205.48 = 557.88 : x
  2. Step 2: Convert to fraction form
    805.03/1,205.48 = 557.88/x
  3. Step 3: Cross multiply
    805.03x = 1,205.48 × 557.88
  4. Step 4: Simplify right side
    805.03x = 672,513.18
  5. Step 5: Solve for x
    x = 672,513.18/805.03
  6. Step 6: Final answer
    x = 835.39

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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.