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Finding the Fourth Proportional to 930.92, 1,284.66 and 538.07

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Solution

The fourth proportional to 930.92, 1,284.66 and 538.07 is: 742.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,284.66 = 538.07 : x
  2. Step 2: Convert to fraction form
    930.92/1,284.66 = 538.07/x
  3. Step 3: Cross multiply
    930.92x = 1,284.66 × 538.07
  4. Step 4: Simplify right side
    930.92x = 691,230.58
  5. Step 5: Solve for x
    x = 691,230.58/930.92
  6. Step 6: Final answer
    x = 742.53

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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.