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Finding the Fourth Proportional to 1,013.01, 1,396.68 and 836.68

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Solution

The fourth proportional to 1,013.01, 1,396.68 and 836.68 is: 1,153.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.01 : 1,396.68 = 836.68 : x
  2. Step 2: Convert to fraction form
    1,013.01/1,396.68 = 836.68/x
  3. Step 3: Cross multiply
    1,013.01x = 1,396.68 × 836.68
  4. Step 4: Simplify right side
    1,013.01x = 1,168,574.22
  5. Step 5: Solve for x
    x = 1,168,574.22/1,013.01
  6. Step 6: Final answer
    x = 1,153.57

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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.