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Finding the Fourth Proportional to 830.88, 1,147.16 and 516.62

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Solution

The fourth proportional to 830.88, 1,147.16 and 516.62 is: 713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.88 : 1,147.16 = 516.62 : x
  2. Step 2: Convert to fraction form
    830.88/1,147.16 = 516.62/x
  3. Step 3: Cross multiply
    830.88x = 1,147.16 × 516.62
  4. Step 4: Simplify right side
    830.88x = 592,649.96
  5. Step 5: Solve for x
    x = 592,649.96/830.88
  6. Step 6: Final answer
    x = 713.28

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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.