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Finding the Fourth Proportional to 718.67, 1,077.10 and 523.67

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Solution

The fourth proportional to 718.67, 1,077.10 and 523.67 is: 784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.67 : 1,077.10 = 523.67 : x
  2. Step 2: Convert to fraction form
    718.67/1,077.10 = 523.67/x
  3. Step 3: Cross multiply
    718.67x = 1,077.10 × 523.67
  4. Step 4: Simplify right side
    718.67x = 564,038.26
  5. Step 5: Solve for x
    x = 564,038.26/718.67
  6. Step 6: Final answer
    x = 784.83

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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.