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Finding the Fourth Proportional to 1,702.59, 2,553.91 and 532.54

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Solution

The fourth proportional to 1,702.59, 2,553.91 and 532.54 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.59 : 2,553.91 = 532.54 : x
  2. Step 2: Convert to fraction form
    1,702.59/2,553.91 = 532.54/x
  3. Step 3: Cross multiply
    1,702.59x = 2,553.91 × 532.54
  4. Step 4: Simplify right side
    1,702.59x = 1,360,064.09
  5. Step 5: Solve for x
    x = 1,360,064.09/1,702.59
  6. Step 6: Final answer
    x = 798.82

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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.