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Finding the Fourth Proportional to 572.36, 785.31 and 556.85

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Solution

The fourth proportional to 572.36, 785.31 and 556.85 is: 764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.36 : 785.31 = 556.85 : x
  2. Step 2: Convert to fraction form
    572.36/785.31 = 556.85/x
  3. Step 3: Cross multiply
    572.36x = 785.31 × 556.85
  4. Step 4: Simplify right side
    572.36x = 437,295.95
  5. Step 5: Solve for x
    x = 437,295.95/572.36
  6. Step 6: Final answer
    x = 764.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.