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Finding the Fourth Proportional to 930.87, 1,284.45 and 537.81

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Solution

The fourth proportional to 930.87, 1,284.45 and 537.81 is: 742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.87 : 1,284.45 = 537.81 : x
  2. Step 2: Convert to fraction form
    930.87/1,284.45 = 537.81/x
  3. Step 3: Cross multiply
    930.87x = 1,284.45 × 537.81
  4. Step 4: Simplify right side
    930.87x = 690,790.05
  5. Step 5: Solve for x
    x = 690,790.05/930.87
  6. Step 6: Final answer
    x = 742.09

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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.