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Finding the Fourth Proportional to 930.83, 1,284.50 and 537.77

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Solution

The fourth proportional to 930.83, 1,284.50 and 537.77 is: 742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.83 : 1,284.50 = 537.77 : x
  2. Step 2: Convert to fraction form
    930.83/1,284.50 = 537.77/x
  3. Step 3: Cross multiply
    930.83x = 1,284.50 × 537.77
  4. Step 4: Simplify right side
    930.83x = 690,756.45
  5. Step 5: Solve for x
    x = 690,756.45/930.83
  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.