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Finding the Fourth Proportional to 930.20, 1,283.67 and 537.30

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Solution

The fourth proportional to 930.20, 1,283.67 and 537.30 is: 741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.20 : 1,283.67 = 537.30 : x
  2. Step 2: Convert to fraction form
    930.20/1,283.67 = 537.30/x
  3. Step 3: Cross multiply
    930.20x = 1,283.67 × 537.30
  4. Step 4: Simplify right side
    930.20x = 689,715.89
  5. Step 5: Solve for x
    x = 689,715.89/930.20
  6. Step 6: Final answer
    x = 741.47

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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.