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Finding the Fourth Proportional to 656.14, 905.24 and 593.76

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Solution

The fourth proportional to 656.14, 905.24 and 593.76 is: 819.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.14 : 905.24 = 593.76 : x
  2. Step 2: Convert to fraction form
    656.14/905.24 = 593.76/x
  3. Step 3: Cross multiply
    656.14x = 905.24 × 593.76
  4. Step 4: Simplify right side
    656.14x = 537,495.30
  5. Step 5: Solve for x
    x = 537,495.30/656.14
  6. Step 6: Final answer
    x = 819.18

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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.