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Finding the Fourth Proportional to 1,669.32, 2,503.68 and 744.71

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Solution

The fourth proportional to 1,669.32, 2,503.68 and 744.71 is: 1,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.32 : 2,503.68 = 744.71 : x
  2. Step 2: Convert to fraction form
    1,669.32/2,503.68 = 744.71/x
  3. Step 3: Cross multiply
    1,669.32x = 2,503.68 × 744.71
  4. Step 4: Simplify right side
    1,669.32x = 1,864,500.22
  5. Step 5: Solve for x
    x = 1,864,500.22/1,669.32
  6. Step 6: Final answer
    x = 1,116.92

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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.