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Finding the Fourth Proportional to 1,252.98, 1,730.42 and 976.50

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Solution

The fourth proportional to 1,252.98, 1,730.42 and 976.50 is: 1,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.98 : 1,730.42 = 976.50 : x
  2. Step 2: Convert to fraction form
    1,252.98/1,730.42 = 976.50/x
  3. Step 3: Cross multiply
    1,252.98x = 1,730.42 × 976.50
  4. Step 4: Simplify right side
    1,252.98x = 1,689,755.13
  5. Step 5: Solve for x
    x = 1,689,755.13/1,252.98
  6. Step 6: Final answer
    x = 1,348.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.