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Finding the Fourth Proportional to 1,068.68, 1,603.26 and 452.42

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Solution

The fourth proportional to 1,068.68, 1,603.26 and 452.42 is: 678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.68 : 1,603.26 = 452.42 : x
  2. Step 2: Convert to fraction form
    1,068.68/1,603.26 = 452.42/x
  3. Step 3: Cross multiply
    1,068.68x = 1,603.26 × 452.42
  4. Step 4: Simplify right side
    1,068.68x = 725,338.87
  5. Step 5: Solve for x
    x = 725,338.87/1,068.68
  6. Step 6: Final answer
    x = 678.73

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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.