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Finding the Fourth Proportional to 1,029.66, 1,544.64 and 380.34

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Solution

The fourth proportional to 1,029.66, 1,544.64 and 380.34 is: 570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.66 : 1,544.64 = 380.34 : x
  2. Step 2: Convert to fraction form
    1,029.66/1,544.64 = 380.34/x
  3. Step 3: Cross multiply
    1,029.66x = 1,544.64 × 380.34
  4. Step 4: Simplify right side
    1,029.66x = 587,488.38
  5. Step 5: Solve for x
    x = 587,488.38/1,029.66
  6. Step 6: Final answer
    x = 570.57

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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.