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Finding the Fourth Proportional to 830.67, 1,145.90 and 516.12

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Solution

The fourth proportional to 830.67, 1,145.90 and 516.12 is: 711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,145.90 = 516.12 : x
  2. Step 2: Convert to fraction form
    830.67/1,145.90 = 516.12/x
  3. Step 3: Cross multiply
    830.67x = 1,145.90 × 516.12
  4. Step 4: Simplify right side
    830.67x = 591,421.91
  5. Step 5: Solve for x
    x = 591,421.91/830.67
  6. Step 6: Final answer
    x = 711.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.