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Finding the Fourth Proportional to 1,702.96, 2,552.85 and 663.66

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Solution

The fourth proportional to 1,702.96, 2,552.85 and 663.66 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.96 : 2,552.85 = 663.66 : x
  2. Step 2: Convert to fraction form
    1,702.96/2,552.85 = 663.66/x
  3. Step 3: Cross multiply
    1,702.96x = 2,552.85 × 663.66
  4. Step 4: Simplify right side
    1,702.96x = 1,694,224.43
  5. Step 5: Solve for x
    x = 1,694,224.43/1,702.96
  6. Step 6: Final answer
    x = 994.87

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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.