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Finding the Fourth Proportional to 710.86, 1,064.84 and 344.56

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Solution

The fourth proportional to 710.86, 1,064.84 and 344.56 is: 516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.86 : 1,064.84 = 344.56 : x
  2. Step 2: Convert to fraction form
    710.86/1,064.84 = 344.56/x
  3. Step 3: Cross multiply
    710.86x = 1,064.84 × 344.56
  4. Step 4: Simplify right side
    710.86x = 366,901.27
  5. Step 5: Solve for x
    x = 366,901.27/710.86
  6. Step 6: Final answer
    x = 516.14

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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.