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Finding the Fourth Proportional to 1,013.54, 1,397.96 and 979.67

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Solution

The fourth proportional to 1,013.54, 1,397.96 and 979.67 is: 1,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.54 : 1,397.96 = 979.67 : x
  2. Step 2: Convert to fraction form
    1,013.54/1,397.96 = 979.67/x
  3. Step 3: Cross multiply
    1,013.54x = 1,397.96 × 979.67
  4. Step 4: Simplify right side
    1,013.54x = 1,369,534.93
  5. Step 5: Solve for x
    x = 1,369,534.93/1,013.54
  6. Step 6: Final answer
    x = 1,351.25

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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.