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Finding the Fourth Proportional to 930.67, 1,284.17 and 537.62

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Solution

The fourth proportional to 930.67, 1,284.17 and 537.62 is: 741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.67 : 1,284.17 = 537.62 : x
  2. Step 2: Convert to fraction form
    930.67/1,284.17 = 537.62/x
  3. Step 3: Cross multiply
    930.67x = 1,284.17 × 537.62
  4. Step 4: Simplify right side
    930.67x = 690,386.37
  5. Step 5: Solve for x
    x = 690,386.37/930.67
  6. Step 6: Final answer
    x = 741.82

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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.