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Finding the Fourth Proportional to 1,029.71, 1,544.78 and 380.44

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Solution

The fourth proportional to 1,029.71, 1,544.78 and 380.44 is: 570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.71 : 1,544.78 = 380.44 : x
  2. Step 2: Convert to fraction form
    1,029.71/1,544.78 = 380.44/x
  3. Step 3: Cross multiply
    1,029.71x = 1,544.78 × 380.44
  4. Step 4: Simplify right side
    1,029.71x = 587,693.19
  5. Step 5: Solve for x
    x = 587,693.19/1,029.71
  6. Step 6: Final answer
    x = 570.74

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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.