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Finding the Fourth Proportional to 1,068.83, 1,603.37 and 452.42

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Solution

The fourth proportional to 1,068.83, 1,603.37 and 452.42 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.83 : 1,603.37 = 452.42 : x
  2. Step 2: Convert to fraction form
    1,068.83/1,603.37 = 452.42/x
  3. Step 3: Cross multiply
    1,068.83x = 1,603.37 × 452.42
  4. Step 4: Simplify right side
    1,068.83x = 725,396.66
  5. Step 5: Solve for x
    x = 725,396.66/1,068.83
  6. Step 6: Final answer
    x = 678.68

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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.