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Finding the Fourth Proportional to 1,471.76, 2,206.82 and 497.34

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Solution

The fourth proportional to 1,471.76, 2,206.82 and 497.34 is: 745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.76 : 2,206.82 = 497.34 : x
  2. Step 2: Convert to fraction form
    1,471.76/2,206.82 = 497.34/x
  3. Step 3: Cross multiply
    1,471.76x = 2,206.82 × 497.34
  4. Step 4: Simplify right side
    1,471.76x = 1,097,539.86
  5. Step 5: Solve for x
    x = 1,097,539.86/1,471.76
  6. Step 6: Final answer
    x = 745.73

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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.