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Finding the Fourth Proportional to 926.98, 1,279.44 and 612.30

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Solution

The fourth proportional to 926.98, 1,279.44 and 612.30 is: 845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.98 : 1,279.44 = 612.30 : x
  2. Step 2: Convert to fraction form
    926.98/1,279.44 = 612.30/x
  3. Step 3: Cross multiply
    926.98x = 1,279.44 × 612.30
  4. Step 4: Simplify right side
    926.98x = 783,401.11
  5. Step 5: Solve for x
    x = 783,401.11/926.98
  6. Step 6: Final answer
    x = 845.11

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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.