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Finding the Fourth Proportional to 1,029.38, 1,544.27 and 452.25

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Solution

The fourth proportional to 1,029.38, 1,544.27 and 452.25 is: 678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.38 : 1,544.27 = 452.25 : x
  2. Step 2: Convert to fraction form
    1,029.38/1,544.27 = 452.25/x
  3. Step 3: Cross multiply
    1,029.38x = 1,544.27 × 452.25
  4. Step 4: Simplify right side
    1,029.38x = 698,393.85
  5. Step 5: Solve for x
    x = 698,393.85/1,029.38
  6. Step 6: Final answer
    x = 678.46

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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.