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Finding the Fourth Proportional to 993.12, 1,366.16 and 953.16

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Solution

The fourth proportional to 993.12, 1,366.16 and 953.16 is: 1,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.12 : 1,366.16 = 953.16 : x
  2. Step 2: Convert to fraction form
    993.12/1,366.16 = 953.16/x
  3. Step 3: Cross multiply
    993.12x = 1,366.16 × 953.16
  4. Step 4: Simplify right side
    993.12x = 1,302,169.07
  5. Step 5: Solve for x
    x = 1,302,169.07/993.12
  6. Step 6: Final answer
    x = 1,311.19

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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.