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Finding the Fourth Proportional to 604.14, 901.11 and 585.91

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Solution

The fourth proportional to 604.14, 901.11 and 585.91 is: 873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.14 : 901.11 = 585.91 : x
  2. Step 2: Convert to fraction form
    604.14/901.11 = 585.91/x
  3. Step 3: Cross multiply
    604.14x = 901.11 × 585.91
  4. Step 4: Simplify right side
    604.14x = 527,969.36
  5. Step 5: Solve for x
    x = 527,969.36/604.14
  6. Step 6: Final answer
    x = 873.92

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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.