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Finding the Fourth Proportional to 815.82, 1,124.32 and 579.77

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Solution

The fourth proportional to 815.82, 1,124.32 and 579.77 is: 799.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.82 : 1,124.32 = 579.77 : x
  2. Step 2: Convert to fraction form
    815.82/1,124.32 = 579.77/x
  3. Step 3: Cross multiply
    815.82x = 1,124.32 × 579.77
  4. Step 4: Simplify right side
    815.82x = 651,847.01
  5. Step 5: Solve for x
    x = 651,847.01/815.82
  6. Step 6: Final answer
    x = 799.01

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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.