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Finding the Fourth Proportional to 927.49, 1,390.02 and 537.70

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Solution

The fourth proportional to 927.49, 1,390.02 and 537.70 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.49 : 1,390.02 = 537.70 : x
  2. Step 2: Convert to fraction form
    927.49/1,390.02 = 537.70/x
  3. Step 3: Cross multiply
    927.49x = 1,390.02 × 537.70
  4. Step 4: Simplify right side
    927.49x = 747,413.75
  5. Step 5: Solve for x
    x = 747,413.75/927.49
  6. Step 6: Final answer
    x = 805.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.