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Finding the Fourth Proportional to 818.37, 1,226.19 and 471.99

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Solution

The fourth proportional to 818.37, 1,226.19 and 471.99 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.37 : 1,226.19 = 471.99 : x
  2. Step 2: Convert to fraction form
    818.37/1,226.19 = 471.99/x
  3. Step 3: Cross multiply
    818.37x = 1,226.19 × 471.99
  4. Step 4: Simplify right side
    818.37x = 578,755.79
  5. Step 5: Solve for x
    x = 578,755.79/818.37
  6. Step 6: Final answer
    x = 707.21

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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.