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Finding the Fourth Proportional to 1,471.75, 2,206.86 and 497.50

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Solution

The fourth proportional to 1,471.75, 2,206.86 and 497.50 is: 745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.75 : 2,206.86 = 497.50 : x
  2. Step 2: Convert to fraction form
    1,471.75/2,206.86 = 497.50/x
  3. Step 3: Cross multiply
    1,471.75x = 2,206.86 × 497.50
  4. Step 4: Simplify right side
    1,471.75x = 1,097,912.85
  5. Step 5: Solve for x
    x = 1,097,912.85/1,471.75
  6. Step 6: Final answer
    x = 745.99

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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.