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Finding the Fourth Proportional to 927.88, 1,279.83 and 776.04

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Solution

The fourth proportional to 927.88, 1,279.83 and 776.04 is: 1,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.88 : 1,279.83 = 776.04 : x
  2. Step 2: Convert to fraction form
    927.88/1,279.83 = 776.04/x
  3. Step 3: Cross multiply
    927.88x = 1,279.83 × 776.04
  4. Step 4: Simplify right side
    927.88x = 993,199.27
  5. Step 5: Solve for x
    x = 993,199.27/927.88
  6. Step 6: Final answer
    x = 1,070.40

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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.