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Finding the Fourth Proportional to 823.96, 1,137 and 474.67

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Solution

The fourth proportional to 823.96, 1,137 and 474.67 is: 655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.96 : 1,137 = 474.67 : x
  2. Step 2: Convert to fraction form
    823.96/1,137 = 474.67/x
  3. Step 3: Cross multiply
    823.96x = 1,137 × 474.67
  4. Step 4: Simplify right side
    823.96x = 539,699.79
  5. Step 5: Solve for x
    x = 539,699.79/823.96
  6. Step 6: Final answer
    x = 655.01

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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.