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Finding the Fourth Proportional to 1,700.97, 2,551.45 and 468.39

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Solution

The fourth proportional to 1,700.97, 2,551.45 and 468.39 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.97 : 2,551.45 = 468.39 : x
  2. Step 2: Convert to fraction form
    1,700.97/2,551.45 = 468.39/x
  3. Step 3: Cross multiply
    1,700.97x = 2,551.45 × 468.39
  4. Step 4: Simplify right side
    1,700.97x = 1,195,060.91
  5. Step 5: Solve for x
    x = 1,195,060.91/1,700.97
  6. Step 6: Final answer
    x = 702.58

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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.