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Finding the Fourth Proportional to 1,068.94, 1,603.58 and 452.65

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Solution

The fourth proportional to 1,068.94, 1,603.58 and 452.65 is: 679.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.94 : 1,603.58 = 452.65 : x
  2. Step 2: Convert to fraction form
    1,068.94/1,603.58 = 452.65/x
  3. Step 3: Cross multiply
    1,068.94x = 1,603.58 × 452.65
  4. Step 4: Simplify right side
    1,068.94x = 725,857.22
  5. Step 5: Solve for x
    x = 725,857.22/1,068.94
  6. Step 6: Final answer
    x = 679.04

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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.