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Finding the Fourth Proportional to 993.76, 1,368.61 and 972.23

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Solution

The fourth proportional to 993.76, 1,368.61 and 972.23 is: 1,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.76 : 1,368.61 = 972.23 : x
  2. Step 2: Convert to fraction form
    993.76/1,368.61 = 972.23/x
  3. Step 3: Cross multiply
    993.76x = 1,368.61 × 972.23
  4. Step 4: Simplify right side
    993.76x = 1,330,603.70
  5. Step 5: Solve for x
    x = 1,330,603.70/993.76
  6. Step 6: Final answer
    x = 1,338.97

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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.