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Finding the Fourth Proportional to 1,049.12, 1,447.53 and 629.40

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Solution

The fourth proportional to 1,049.12, 1,447.53 and 629.40 is: 868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.12 : 1,447.53 = 629.40 : x
  2. Step 2: Convert to fraction form
    1,049.12/1,447.53 = 629.40/x
  3. Step 3: Cross multiply
    1,049.12x = 1,447.53 × 629.40
  4. Step 4: Simplify right side
    1,049.12x = 911,075.38
  5. Step 5: Solve for x
    x = 911,075.38/1,049.12
  6. Step 6: Final answer
    x = 868.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.