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Finding the Fourth Proportional to 810.54, 1,212.91 and 763.76

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Solution

The fourth proportional to 810.54, 1,212.91 and 763.76 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.54 : 1,212.91 = 763.76 : x
  2. Step 2: Convert to fraction form
    810.54/1,212.91 = 763.76/x
  3. Step 3: Cross multiply
    810.54x = 1,212.91 × 763.76
  4. Step 4: Simplify right side
    810.54x = 926,373.26
  5. Step 5: Solve for x
    x = 926,373.26/810.54
  6. Step 6: Final answer
    x = 1,142.91

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