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Finding the Fourth Proportional to 930.14, 1,283.65 and 516.14

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Solution

The fourth proportional to 930.14, 1,283.65 and 516.14 is: 712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.14 : 1,283.65 = 516.14 : x
  2. Step 2: Convert to fraction form
    930.14/1,283.65 = 516.14/x
  3. Step 3: Cross multiply
    930.14x = 1,283.65 × 516.14
  4. Step 4: Simplify right side
    930.14x = 662,534.11
  5. Step 5: Solve for x
    x = 662,534.11/930.14
  6. Step 6: Final answer
    x = 712.30

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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.