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Finding the Fourth Proportional to 818.08, 1,226 and 471.52

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Solution

The fourth proportional to 818.08, 1,226 and 471.52 is: 706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.08 : 1,226 = 471.52 : x
  2. Step 2: Convert to fraction form
    818.08/1,226 = 471.52/x
  3. Step 3: Cross multiply
    818.08x = 1,226 × 471.52
  4. Step 4: Simplify right side
    818.08x = 578,083.52
  5. Step 5: Solve for x
    x = 578,083.52/818.08
  6. Step 6: Final answer
    x = 706.63

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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.