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Finding the Fourth Proportional to 719.10, 1,077.53 and 523.62

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Solution

The fourth proportional to 719.10, 1,077.53 and 523.62 is: 784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.10 : 1,077.53 = 523.62 : x
  2. Step 2: Convert to fraction form
    719.10/1,077.53 = 523.62/x
  3. Step 3: Cross multiply
    719.10x = 1,077.53 × 523.62
  4. Step 4: Simplify right side
    719.10x = 564,213.64
  5. Step 5: Solve for x
    x = 564,213.64/719.10
  6. Step 6: Final answer
    x = 784.61

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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.