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Finding the Fourth Proportional to 1,010.59, 1,516.70 and 523.78

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Solution

The fourth proportional to 1,010.59, 1,516.70 and 523.78 is: 786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.59 : 1,516.70 = 523.78 : x
  2. Step 2: Convert to fraction form
    1,010.59/1,516.70 = 523.78/x
  3. Step 3: Cross multiply
    1,010.59x = 1,516.70 × 523.78
  4. Step 4: Simplify right side
    1,010.59x = 794,417.13
  5. Step 5: Solve for x
    x = 794,417.13/1,010.59
  6. Step 6: Final answer
    x = 786.09

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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.