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Finding the Fourth Proportional to 810.35, 1,207.82 and 764.22

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Solution

The fourth proportional to 810.35, 1,207.82 and 764.22 is: 1,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.35 : 1,207.82 = 764.22 : x
  2. Step 2: Convert to fraction form
    810.35/1,207.82 = 764.22/x
  3. Step 3: Cross multiply
    810.35x = 1,207.82 × 764.22
  4. Step 4: Simplify right side
    810.35x = 923,036.38
  5. Step 5: Solve for x
    x = 923,036.38/810.35
  6. Step 6: Final answer
    x = 1,139.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.