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Finding the Fourth Proportional to 874.83, 1,207.19 and 559.54

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Solution

The fourth proportional to 874.83, 1,207.19 and 559.54 is: 772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.83 : 1,207.19 = 559.54 : x
  2. Step 2: Convert to fraction form
    874.83/1,207.19 = 559.54/x
  3. Step 3: Cross multiply
    874.83x = 1,207.19 × 559.54
  4. Step 4: Simplify right side
    874.83x = 675,465.28
  5. Step 5: Solve for x
    x = 675,465.28/874.83
  6. Step 6: Final answer
    x = 772.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.