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Finding the Fourth Proportional to 810.72, 1,119.14 and 687.04

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Solution

The fourth proportional to 810.72, 1,119.14 and 687.04 is: 948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.72 : 1,119.14 = 687.04 : x
  2. Step 2: Convert to fraction form
    810.72/1,119.14 = 687.04/x
  3. Step 3: Cross multiply
    810.72x = 1,119.14 × 687.04
  4. Step 4: Simplify right side
    810.72x = 768,893.95
  5. Step 5: Solve for x
    x = 768,893.95/810.72
  6. Step 6: Final answer
    x = 948.41

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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.