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Finding the Fourth Proportional to 601.22, 896.58 and 595.76

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Solution

The fourth proportional to 601.22, 896.58 and 595.76 is: 888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.22 : 896.58 = 595.76 : x
  2. Step 2: Convert to fraction form
    601.22/896.58 = 595.76/x
  3. Step 3: Cross multiply
    601.22x = 896.58 × 595.76
  4. Step 4: Simplify right side
    601.22x = 534,142.02
  5. Step 5: Solve for x
    x = 534,142.02/601.22
  6. Step 6: Final answer
    x = 888.43

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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.