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Finding the Fourth Proportional to 1,013.11, 1,397.84 and 777.29

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Solution

The fourth proportional to 1,013.11, 1,397.84 and 777.29 is: 1,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.11 : 1,397.84 = 777.29 : x
  2. Step 2: Convert to fraction form
    1,013.11/1,397.84 = 777.29/x
  3. Step 3: Cross multiply
    1,013.11x = 1,397.84 × 777.29
  4. Step 4: Simplify right side
    1,013.11x = 1,086,516.18
  5. Step 5: Solve for x
    x = 1,086,516.18/1,013.11
  6. Step 6: Final answer
    x = 1,072.46

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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.