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Finding the Fourth Proportional to 926.87, 1,279.26 and 705.42

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Solution

The fourth proportional to 926.87, 1,279.26 and 705.42 is: 973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.87 : 1,279.26 = 705.42 : x
  2. Step 2: Convert to fraction form
    926.87/1,279.26 = 705.42/x
  3. Step 3: Cross multiply
    926.87x = 1,279.26 × 705.42
  4. Step 4: Simplify right side
    926.87x = 902,415.59
  5. Step 5: Solve for x
    x = 902,415.59/926.87
  6. Step 6: Final answer
    x = 973.62

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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.