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Finding the Fourth Proportional to 1,029.33, 1,544.63 and 380.07

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Solution

The fourth proportional to 1,029.33, 1,544.63 and 380.07 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.33 : 1,544.63 = 380.07 : x
  2. Step 2: Convert to fraction form
    1,029.33/1,544.63 = 380.07/x
  3. Step 3: Cross multiply
    1,029.33x = 1,544.63 × 380.07
  4. Step 4: Simplify right side
    1,029.33x = 587,065.62
  5. Step 5: Solve for x
    x = 587,065.62/1,029.33
  6. Step 6: Final answer
    x = 570.34

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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.