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Finding the Fourth Proportional to 618.22, 847.73 and 597.52

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Solution

The fourth proportional to 618.22, 847.73 and 597.52 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.22 : 847.73 = 597.52 : x
  2. Step 2: Convert to fraction form
    618.22/847.73 = 597.52/x
  3. Step 3: Cross multiply
    618.22x = 847.73 × 597.52
  4. Step 4: Simplify right side
    618.22x = 506,535.63
  5. Step 5: Solve for x
    x = 506,535.63/618.22
  6. Step 6: Final answer
    x = 819.35

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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.