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Finding the Fourth Proportional to 836.51, 1,254.96 and 769.01

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Solution

The fourth proportional to 836.51, 1,254.96 and 769.01 is: 1,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.51 : 1,254.96 = 769.01 : x
  2. Step 2: Convert to fraction form
    836.51/1,254.96 = 769.01/x
  3. Step 3: Cross multiply
    836.51x = 1,254.96 × 769.01
  4. Step 4: Simplify right side
    836.51x = 965,070.51
  5. Step 5: Solve for x
    x = 965,070.51/836.51
  6. Step 6: Final answer
    x = 1,153.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.