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Finding the Fourth Proportional to 604.36, 901.61 and 587.62

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Solution

The fourth proportional to 604.36, 901.61 and 587.62 is: 876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.36 : 901.61 = 587.62 : x
  2. Step 2: Convert to fraction form
    604.36/901.61 = 587.62/x
  3. Step 3: Cross multiply
    604.36x = 901.61 × 587.62
  4. Step 4: Simplify right side
    604.36x = 529,804.07
  5. Step 5: Solve for x
    x = 529,804.07/604.36
  6. Step 6: Final answer
    x = 876.64

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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.