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Finding the Fourth Proportional to 1,010.25, 1,515.51 and 523.17

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Solution

The fourth proportional to 1,010.25, 1,515.51 and 523.17 is: 784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.25 : 1,515.51 = 523.17 : x
  2. Step 2: Convert to fraction form
    1,010.25/1,515.51 = 523.17/x
  3. Step 3: Cross multiply
    1,010.25x = 1,515.51 × 523.17
  4. Step 4: Simplify right side
    1,010.25x = 792,869.37
  5. Step 5: Solve for x
    x = 792,869.37/1,010.25
  6. Step 6: Final answer
    x = 784.82

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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.