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Finding the Fourth Proportional to 604.43, 907.41 and 522.69

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Solution

The fourth proportional to 604.43, 907.41 and 522.69 is: 784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.43 : 907.41 = 522.69 : x
  2. Step 2: Convert to fraction form
    604.43/907.41 = 522.69/x
  3. Step 3: Cross multiply
    604.43x = 907.41 × 522.69
  4. Step 4: Simplify right side
    604.43x = 474,294.13
  5. Step 5: Solve for x
    x = 474,294.13/604.43
  6. Step 6: Final answer
    x = 784.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.