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Finding the Fourth Proportional to 999.76, 1,379.52 and 585.76

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Solution

The fourth proportional to 999.76, 1,379.52 and 585.76 is: 808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.76 : 1,379.52 = 585.76 : x
  2. Step 2: Convert to fraction form
    999.76/1,379.52 = 585.76/x
  3. Step 3: Cross multiply
    999.76x = 1,379.52 × 585.76
  4. Step 4: Simplify right side
    999.76x = 808,067.64
  5. Step 5: Solve for x
    x = 808,067.64/999.76
  6. Step 6: Final answer
    x = 808.26

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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.