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Finding the Fourth Proportional to 1,471.70, 2,206.18 and 497.12

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Solution

The fourth proportional to 1,471.70, 2,206.18 and 497.12 is: 745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.70 : 2,206.18 = 497.12 : x
  2. Step 2: Convert to fraction form
    1,471.70/2,206.18 = 497.12/x
  3. Step 3: Cross multiply
    1,471.70x = 2,206.18 × 497.12
  4. Step 4: Simplify right side
    1,471.70x = 1,096,733.72
  5. Step 5: Solve for x
    x = 1,096,733.72/1,471.70
  6. Step 6: Final answer
    x = 745.22

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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.