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Finding the Fourth Proportional to 1,068.94, 1,603.39 and 452.33

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Solution

The fourth proportional to 1,068.94, 1,603.39 and 452.33 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.94 : 1,603.39 = 452.33 : x
  2. Step 2: Convert to fraction form
    1,068.94/1,603.39 = 452.33/x
  3. Step 3: Cross multiply
    1,068.94x = 1,603.39 × 452.33
  4. Step 4: Simplify right side
    1,068.94x = 725,261.40
  5. Step 5: Solve for x
    x = 725,261.40/1,068.94
  6. Step 6: Final answer
    x = 678.49

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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.