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Finding the Fourth Proportional to 1,015.52, 1,522.76 and 604.53

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Solution

The fourth proportional to 1,015.52, 1,522.76 and 604.53 is: 906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.52 : 1,522.76 = 604.53 : x
  2. Step 2: Convert to fraction form
    1,015.52/1,522.76 = 604.53/x
  3. Step 3: Cross multiply
    1,015.52x = 1,522.76 × 604.53
  4. Step 4: Simplify right side
    1,015.52x = 920,551.08
  5. Step 5: Solve for x
    x = 920,551.08/1,015.52
  6. Step 6: Final answer
    x = 906.49

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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.