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Finding the Fourth Proportional to 1,700.68, 2,550.97 and 468.17

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Solution

The fourth proportional to 1,700.68, 2,550.97 and 468.17 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.68 : 2,550.97 = 468.17 : x
  2. Step 2: Convert to fraction form
    1,700.68/2,550.97 = 468.17/x
  3. Step 3: Cross multiply
    1,700.68x = 2,550.97 × 468.17
  4. Step 4: Simplify right side
    1,700.68x = 1,194,287.62
  5. Step 5: Solve for x
    x = 1,194,287.62/1,700.68
  6. Step 6: Final answer
    x = 702.24

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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.