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Finding the Fourth Proportional to 719.04, 1,077.16 and 563.24

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Solution

The fourth proportional to 719.04, 1,077.16 and 563.24 is: 843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.04 : 1,077.16 = 563.24 : x
  2. Step 2: Convert to fraction form
    719.04/1,077.16 = 563.24/x
  3. Step 3: Cross multiply
    719.04x = 1,077.16 × 563.24
  4. Step 4: Simplify right side
    719.04x = 606,699.60
  5. Step 5: Solve for x
    x = 606,699.60/719.04
  6. Step 6: Final answer
    x = 843.76

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Why These Related Problems?

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