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Finding the Fourth Proportional to 1,137.73, 1,707.25 and 479.56

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Solution

The fourth proportional to 1,137.73, 1,707.25 and 479.56 is: 719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.73 : 1,707.25 = 479.56 : x
  2. Step 2: Convert to fraction form
    1,137.73/1,707.25 = 479.56/x
  3. Step 3: Cross multiply
    1,137.73x = 1,707.25 × 479.56
  4. Step 4: Simplify right side
    1,137.73x = 818,723.34
  5. Step 5: Solve for x
    x = 818,723.34/1,137.73
  6. Step 6: Final answer
    x = 719.61

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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.