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Finding the Fourth Proportional to 930.77, 1,284.70 and 538.03

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Solution

The fourth proportional to 930.77, 1,284.70 and 538.03 is: 742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.77 : 1,284.70 = 538.03 : x
  2. Step 2: Convert to fraction form
    930.77/1,284.70 = 538.03/x
  3. Step 3: Cross multiply
    930.77x = 1,284.70 × 538.03
  4. Step 4: Simplify right side
    930.77x = 691,202.58
  5. Step 5: Solve for x
    x = 691,202.58/930.77
  6. Step 6: Final answer
    x = 742.61

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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.