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Finding the Fourth Proportional to 1,137.69, 1,707.24 and 488.43

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Solution

The fourth proportional to 1,137.69, 1,707.24 and 488.43 is: 732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.69 : 1,707.24 = 488.43 : x
  2. Step 2: Convert to fraction form
    1,137.69/1,707.24 = 488.43/x
  3. Step 3: Cross multiply
    1,137.69x = 1,707.24 × 488.43
  4. Step 4: Simplify right side
    1,137.69x = 833,867.23
  5. Step 5: Solve for x
    x = 833,867.23/1,137.69
  6. Step 6: Final answer
    x = 732.95

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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.