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Finding the Fourth Proportional to 601.82, 897.11 and 595.34

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Solution

The fourth proportional to 601.82, 897.11 and 595.34 is: 887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.82 : 897.11 = 595.34 : x
  2. Step 2: Convert to fraction form
    601.82/897.11 = 595.34/x
  3. Step 3: Cross multiply
    601.82x = 897.11 × 595.34
  4. Step 4: Simplify right side
    601.82x = 534,078.01
  5. Step 5: Solve for x
    x = 534,078.01/601.82
  6. Step 6: Final answer
    x = 887.45

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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.