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Finding the Fourth Proportional to 872.99, 1,204.35 and 523.67

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Solution

The fourth proportional to 872.99, 1,204.35 and 523.67 is: 722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.99 : 1,204.35 = 523.67 : x
  2. Step 2: Convert to fraction form
    872.99/1,204.35 = 523.67/x
  3. Step 3: Cross multiply
    872.99x = 1,204.35 × 523.67
  4. Step 4: Simplify right side
    872.99x = 630,681.96
  5. Step 5: Solve for x
    x = 630,681.96/872.99
  6. Step 6: Final answer
    x = 722.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.