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Finding the Fourth Proportional to 1,472.20, 2,206.93 and 497.62

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Solution

The fourth proportional to 1,472.20, 2,206.93 and 497.62 is: 745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.20 : 2,206.93 = 497.62 : x
  2. Step 2: Convert to fraction form
    1,472.20/2,206.93 = 497.62/x
  3. Step 3: Cross multiply
    1,472.20x = 2,206.93 × 497.62
  4. Step 4: Simplify right side
    1,472.20x = 1,098,212.51
  5. Step 5: Solve for x
    x = 1,098,212.51/1,472.20
  6. Step 6: Final answer
    x = 745.97

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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.