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Finding the Fourth Proportional to 993.06, 1,371.87 and 732.51

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Solution

The fourth proportional to 993.06, 1,371.87 and 732.51 is: 1,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.06 : 1,371.87 = 732.51 : x
  2. Step 2: Convert to fraction form
    993.06/1,371.87 = 732.51/x
  3. Step 3: Cross multiply
    993.06x = 1,371.87 × 732.51
  4. Step 4: Simplify right side
    993.06x = 1,004,908.49
  5. Step 5: Solve for x
    x = 1,004,908.49/993.06
  6. Step 6: Final answer
    x = 1,011.93

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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.