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Finding the Fourth Proportional to 830.62, 1,146.39 and 516.07

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Solution

The fourth proportional to 830.62, 1,146.39 and 516.07 is: 712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.62 : 1,146.39 = 516.07 : x
  2. Step 2: Convert to fraction form
    830.62/1,146.39 = 516.07/x
  3. Step 3: Cross multiply
    830.62x = 1,146.39 × 516.07
  4. Step 4: Simplify right side
    830.62x = 591,612.69
  5. Step 5: Solve for x
    x = 591,612.69/830.62
  6. Step 6: Final answer
    x = 712.26

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