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Finding the Fourth Proportional to 1,700.75, 2,551.21 and 468.13

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Solution

The fourth proportional to 1,700.75, 2,551.21 and 468.13 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.75 : 2,551.21 = 468.13 : x
  2. Step 2: Convert to fraction form
    1,700.75/2,551.21 = 468.13/x
  3. Step 3: Cross multiply
    1,700.75x = 2,551.21 × 468.13
  4. Step 4: Simplify right side
    1,700.75x = 1,194,304.98
  5. Step 5: Solve for x
    x = 1,194,304.98/1,700.75
  6. Step 6: Final answer
    x = 702.22

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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.