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Finding the Fourth Proportional to 1,015.76, 1,524.53 and 522.51

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Solution

The fourth proportional to 1,015.76, 1,524.53 and 522.51 is: 784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.76 : 1,524.53 = 522.51 : x
  2. Step 2: Convert to fraction form
    1,015.76/1,524.53 = 522.51/x
  3. Step 3: Cross multiply
    1,015.76x = 1,524.53 × 522.51
  4. Step 4: Simplify right side
    1,015.76x = 796,583.48
  5. Step 5: Solve for x
    x = 796,583.48/1,015.76
  6. Step 6: Final answer
    x = 784.23

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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.