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Finding the Fourth Proportional to 993.11, 1,369.54 and 594.71

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Solution

The fourth proportional to 993.11, 1,369.54 and 594.71 is: 820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.11 : 1,369.54 = 594.71 : x
  2. Step 2: Convert to fraction form
    993.11/1,369.54 = 594.71/x
  3. Step 3: Cross multiply
    993.11x = 1,369.54 × 594.71
  4. Step 4: Simplify right side
    993.11x = 814,478.16
  5. Step 5: Solve for x
    x = 814,478.16/993.11
  6. Step 6: Final answer
    x = 820.13

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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.