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Finding the Fourth Proportional to 815.62, 1,221.34 and 569.58

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Solution

The fourth proportional to 815.62, 1,221.34 and 569.58 is: 852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.62 : 1,221.34 = 569.58 : x
  2. Step 2: Convert to fraction form
    815.62/1,221.34 = 569.58/x
  3. Step 3: Cross multiply
    815.62x = 1,221.34 × 569.58
  4. Step 4: Simplify right side
    815.62x = 695,650.84
  5. Step 5: Solve for x
    x = 695,650.84/815.62
  6. Step 6: Final answer
    x = 852.91

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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.