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Finding the Fourth Proportional to 709.79, 1,064.37 and 523.56

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Solution

The fourth proportional to 709.79, 1,064.37 and 523.56 is: 785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.79 : 1,064.37 = 523.56 : x
  2. Step 2: Convert to fraction form
    709.79/1,064.37 = 523.56/x
  3. Step 3: Cross multiply
    709.79x = 1,064.37 × 523.56
  4. Step 4: Simplify right side
    709.79x = 557,261.56
  5. Step 5: Solve for x
    x = 557,261.56/709.79
  6. Step 6: Final answer
    x = 785.11

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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.