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Finding the Fourth Proportional to 605.70, 903.56 and 522.90

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Solution

The fourth proportional to 605.70, 903.56 and 522.90 is: 780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.70 : 903.56 = 522.90 : x
  2. Step 2: Convert to fraction form
    605.70/903.56 = 522.90/x
  3. Step 3: Cross multiply
    605.70x = 903.56 × 522.90
  4. Step 4: Simplify right side
    605.70x = 472,468.91
  5. Step 5: Solve for x
    x = 472,468.91/605.70
  6. Step 6: Final answer
    x = 780.04

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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.