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Finding the Fourth Proportional to 719.15, 1,076.49 and 581.04

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Solution

The fourth proportional to 719.15, 1,076.49 and 581.04 is: 869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.15 : 1,076.49 = 581.04 : x
  2. Step 2: Convert to fraction form
    719.15/1,076.49 = 581.04/x
  3. Step 3: Cross multiply
    719.15x = 1,076.49 × 581.04
  4. Step 4: Simplify right side
    719.15x = 625,483.75
  5. Step 5: Solve for x
    x = 625,483.75/719.15
  6. Step 6: Final answer
    x = 869.76

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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.