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Finding the Fourth Proportional to 993.82, 1,490.71 and 585.55

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Solution

The fourth proportional to 993.82, 1,490.71 and 585.55 is: 878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.82 : 1,490.71 = 585.55 : x
  2. Step 2: Convert to fraction form
    993.82/1,490.71 = 585.55/x
  3. Step 3: Cross multiply
    993.82x = 1,490.71 × 585.55
  4. Step 4: Simplify right side
    993.82x = 872,874.86
  5. Step 5: Solve for x
    x = 872,874.86/993.82
  6. Step 6: Final answer
    x = 878.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.