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Finding the Fourth Proportional to 708.22, 973.92 and 566.56

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Solution

The fourth proportional to 708.22, 973.92 and 566.56 is: 779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 973.92 = 566.56 : x
  2. Step 2: Convert to fraction form
    708.22/973.92 = 566.56/x
  3. Step 3: Cross multiply
    708.22x = 973.92 × 566.56
  4. Step 4: Simplify right side
    708.22x = 551,784.12
  5. Step 5: Solve for x
    x = 551,784.12/708.22
  6. Step 6: Final answer
    x = 779.11

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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.