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Finding the Fourth Proportional to 622.77, 859.82 and 557.16

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Solution

The fourth proportional to 622.77, 859.82 and 557.16 is: 769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.77 : 859.82 = 557.16 : x
  2. Step 2: Convert to fraction form
    622.77/859.82 = 557.16/x
  3. Step 3: Cross multiply
    622.77x = 859.82 × 557.16
  4. Step 4: Simplify right side
    622.77x = 479,054.53
  5. Step 5: Solve for x
    x = 479,054.53/622.77
  6. Step 6: Final answer
    x = 769.23

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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.