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Finding the Fourth Proportional to 930.86, 1,284.78 and 537.86

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Solution

The fourth proportional to 930.86, 1,284.78 and 537.86 is: 742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.86 : 1,284.78 = 537.86 : x
  2. Step 2: Convert to fraction form
    930.86/1,284.78 = 537.86/x
  3. Step 3: Cross multiply
    930.86x = 1,284.78 × 537.86
  4. Step 4: Simplify right side
    930.86x = 691,031.77
  5. Step 5: Solve for x
    x = 691,031.77/930.86
  6. Step 6: Final answer
    x = 742.36

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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.