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Finding the Fourth Proportional to 993.72, 1,369.76 and 783.57

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Solution

The fourth proportional to 993.72, 1,369.76 and 783.57 is: 1,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.72 : 1,369.76 = 783.57 : x
  2. Step 2: Convert to fraction form
    993.72/1,369.76 = 783.57/x
  3. Step 3: Cross multiply
    993.72x = 1,369.76 × 783.57
  4. Step 4: Simplify right side
    993.72x = 1,073,302.84
  5. Step 5: Solve for x
    x = 1,073,302.84/993.72
  6. Step 6: Final answer
    x = 1,080.09

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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.