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Finding the Fourth Proportional to 1,010.23, 1,515.86 and 523.17

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Solution

The fourth proportional to 1,010.23, 1,515.86 and 523.17 is: 785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.23 : 1,515.86 = 523.17 : x
  2. Step 2: Convert to fraction form
    1,010.23/1,515.86 = 523.17/x
  3. Step 3: Cross multiply
    1,010.23x = 1,515.86 × 523.17
  4. Step 4: Simplify right side
    1,010.23x = 793,052.48
  5. Step 5: Solve for x
    x = 793,052.48/1,010.23
  6. Step 6: Final answer
    x = 785.02

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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.