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Finding the Fourth Proportional to 711.14, 1,065.17 and 345.16

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Solution

The fourth proportional to 711.14, 1,065.17 and 345.16 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.14 : 1,065.17 = 345.16 : x
  2. Step 2: Convert to fraction form
    711.14/1,065.17 = 345.16/x
  3. Step 3: Cross multiply
    711.14x = 1,065.17 × 345.16
  4. Step 4: Simplify right side
    711.14x = 367,652.35
  5. Step 5: Solve for x
    x = 367,652.35/711.14
  6. Step 6: Final answer
    x = 516.99

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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.