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Finding the Fourth Proportional to 930.23, 1,283.31 and 537.02

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Solution

The fourth proportional to 930.23, 1,283.31 and 537.02 is: 740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.23 : 1,283.31 = 537.02 : x
  2. Step 2: Convert to fraction form
    930.23/1,283.31 = 537.02/x
  3. Step 3: Cross multiply
    930.23x = 1,283.31 × 537.02
  4. Step 4: Simplify right side
    930.23x = 689,163.14
  5. Step 5: Solve for x
    x = 689,163.14/930.23
  6. Step 6: Final answer
    x = 740.85

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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.