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Finding the Fourth Proportional to 993.18, 1,367.81 and 712.93

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Solution

The fourth proportional to 993.18, 1,367.81 and 712.93 is: 981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.18 : 1,367.81 = 712.93 : x
  2. Step 2: Convert to fraction form
    993.18/1,367.81 = 712.93/x
  3. Step 3: Cross multiply
    993.18x = 1,367.81 × 712.93
  4. Step 4: Simplify right side
    993.18x = 975,159.02
  5. Step 5: Solve for x
    x = 975,159.02/993.18
  6. Step 6: Final answer
    x = 981.85

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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.