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Finding the Fourth Proportional to 874.16, 1,205.72 and 579.28

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Solution

The fourth proportional to 874.16, 1,205.72 and 579.28 is: 799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.16 : 1,205.72 = 579.28 : x
  2. Step 2: Convert to fraction form
    874.16/1,205.72 = 579.28/x
  3. Step 3: Cross multiply
    874.16x = 1,205.72 × 579.28
  4. Step 4: Simplify right side
    874.16x = 698,449.48
  5. Step 5: Solve for x
    x = 698,449.48/874.16
  6. Step 6: Final answer
    x = 799.00

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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.