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Finding the Fourth Proportional to 709.20, 1,059.30 and 564.48

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Solution

The fourth proportional to 709.20, 1,059.30 and 564.48 is: 843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.20 : 1,059.30 = 564.48 : x
  2. Step 2: Convert to fraction form
    709.20/1,059.30 = 564.48/x
  3. Step 3: Cross multiply
    709.20x = 1,059.30 × 564.48
  4. Step 4: Simplify right side
    709.20x = 597,953.66
  5. Step 5: Solve for x
    x = 597,953.66/709.20
  6. Step 6: Final answer
    x = 843.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.