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Finding the Fourth Proportional to 1,015.09, 1,522.63 and 467.73

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Solution

The fourth proportional to 1,015.09, 1,522.63 and 467.73 is: 701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.09 : 1,522.63 = 467.73 : x
  2. Step 2: Convert to fraction form
    1,015.09/1,522.63 = 467.73/x
  3. Step 3: Cross multiply
    1,015.09x = 1,522.63 × 467.73
  4. Step 4: Simplify right side
    1,015.09x = 712,180.31
  5. Step 5: Solve for x
    x = 712,180.31/1,015.09
  6. Step 6: Final answer
    x = 701.60

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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.