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Finding the Fourth Proportional to 1,029.77, 1,544.49 and 380.34

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Solution

The fourth proportional to 1,029.77, 1,544.49 and 380.34 is: 570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.77 : 1,544.49 = 380.34 : x
  2. Step 2: Convert to fraction form
    1,029.77/1,544.49 = 380.34/x
  3. Step 3: Cross multiply
    1,029.77x = 1,544.49 × 380.34
  4. Step 4: Simplify right side
    1,029.77x = 587,431.33
  5. Step 5: Solve for x
    x = 587,431.33/1,029.77
  6. Step 6: Final answer
    x = 570.45

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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.