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Finding the Fourth Proportional to 803.71, 1,109.16 and 628.75

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Solution

The fourth proportional to 803.71, 1,109.16 and 628.75 is: 867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.71 : 1,109.16 = 628.75 : x
  2. Step 2: Convert to fraction form
    803.71/1,109.16 = 628.75/x
  3. Step 3: Cross multiply
    803.71x = 1,109.16 × 628.75
  4. Step 4: Simplify right side
    803.71x = 697,384.35
  5. Step 5: Solve for x
    x = 697,384.35/803.71
  6. Step 6: Final answer
    x = 867.71

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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.