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Finding the Fourth Proportional to 811.76, 1,117.95 and 758.30

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Solution

The fourth proportional to 811.76, 1,117.95 and 758.30 is: 1,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.76 : 1,117.95 = 758.30 : x
  2. Step 2: Convert to fraction form
    811.76/1,117.95 = 758.30/x
  3. Step 3: Cross multiply
    811.76x = 1,117.95 × 758.30
  4. Step 4: Simplify right side
    811.76x = 847,741.49
  5. Step 5: Solve for x
    x = 847,741.49/811.76
  6. Step 6: Final answer
    x = 1,044.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.