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Finding the Fourth Proportional to 1,702.09, 2,553.49 and 532.06

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Solution

The fourth proportional to 1,702.09, 2,553.49 and 532.06 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.09 : 2,553.49 = 532.06 : x
  2. Step 2: Convert to fraction form
    1,702.09/2,553.49 = 532.06/x
  3. Step 3: Cross multiply
    1,702.09x = 2,553.49 × 532.06
  4. Step 4: Simplify right side
    1,702.09x = 1,358,609.89
  5. Step 5: Solve for x
    x = 1,358,609.89/1,702.09
  6. Step 6: Final answer
    x = 798.20

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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.