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Finding the Fourth Proportional to 650.52, 896.94 and 595.44

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Solution

The fourth proportional to 650.52, 896.94 and 595.44 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 896.94 = 595.44 : x
  2. Step 2: Convert to fraction form
    650.52/896.94 = 595.44/x
  3. Step 3: Cross multiply
    650.52x = 896.94 × 595.44
  4. Step 4: Simplify right side
    650.52x = 534,073.95
  5. Step 5: Solve for x
    x = 534,073.95/650.52
  6. Step 6: Final answer
    x = 821.00

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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.