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Finding the Fourth Proportional to 1,029.61, 1,544.46 and 299.26

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Solution

The fourth proportional to 1,029.61, 1,544.46 and 299.26 is: 448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.61 : 1,544.46 = 299.26 : x
  2. Step 2: Convert to fraction form
    1,029.61/1,544.46 = 299.26/x
  3. Step 3: Cross multiply
    1,029.61x = 1,544.46 × 299.26
  4. Step 4: Simplify right side
    1,029.61x = 462,195.10
  5. Step 5: Solve for x
    x = 462,195.10/1,029.61
  6. Step 6: Final answer
    x = 448.90

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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.