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Finding the Fourth Proportional to 810.35, 1,118.93 and 769.58

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Solution

The fourth proportional to 810.35, 1,118.93 and 769.58 is: 1,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.35 : 1,118.93 = 769.58 : x
  2. Step 2: Convert to fraction form
    810.35/1,118.93 = 769.58/x
  3. Step 3: Cross multiply
    810.35x = 1,118.93 × 769.58
  4. Step 4: Simplify right side
    810.35x = 861,102.48
  5. Step 5: Solve for x
    x = 861,102.48/810.35
  6. Step 6: Final answer
    x = 1,062.64

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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.