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Finding the Fourth Proportional to 1,029.66, 1,544.30 and 380.24

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Solution

The fourth proportional to 1,029.66, 1,544.30 and 380.24 is: 570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.66 : 1,544.30 = 380.24 : x
  2. Step 2: Convert to fraction form
    1,029.66/1,544.30 = 380.24/x
  3. Step 3: Cross multiply
    1,029.66x = 1,544.30 × 380.24
  4. Step 4: Simplify right side
    1,029.66x = 587,204.63
  5. Step 5: Solve for x
    x = 587,204.63/1,029.66
  6. Step 6: Final answer
    x = 570.29

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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.