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Finding the Fourth Proportional to 1,471.19, 2,206.87 and 497.21

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Solution

The fourth proportional to 1,471.19, 2,206.87 and 497.21 is: 745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.19 : 2,206.87 = 497.21 : x
  2. Step 2: Convert to fraction form
    1,471.19/2,206.87 = 497.21/x
  3. Step 3: Cross multiply
    1,471.19x = 2,206.87 × 497.21
  4. Step 4: Simplify right side
    1,471.19x = 1,097,265.56
  5. Step 5: Solve for x
    x = 1,097,265.56/1,471.19
  6. Step 6: Final answer
    x = 745.84

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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.