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Finding the Fourth Proportional to 817.90, 1,129.34 and 523.67

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Solution

The fourth proportional to 817.90, 1,129.34 and 523.67 is: 723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.90 : 1,129.34 = 523.67 : x
  2. Step 2: Convert to fraction form
    817.90/1,129.34 = 523.67/x
  3. Step 3: Cross multiply
    817.90x = 1,129.34 × 523.67
  4. Step 4: Simplify right side
    817.90x = 591,397.14
  5. Step 5: Solve for x
    x = 591,397.14/817.90
  6. Step 6: Final answer
    x = 723.07

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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.