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Finding the Fourth Proportional to 1,702.88, 2,553.62 and 532.49

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Solution

The fourth proportional to 1,702.88, 2,553.62 and 532.49 is: 798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.88 : 2,553.62 = 532.49 : x
  2. Step 2: Convert to fraction form
    1,702.88/2,553.62 = 532.49/x
  3. Step 3: Cross multiply
    1,702.88x = 2,553.62 × 532.49
  4. Step 4: Simplify right side
    1,702.88x = 1,359,777.11
  5. Step 5: Solve for x
    x = 1,359,777.11/1,702.88
  6. Step 6: Final answer
    x = 798.52

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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.