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Finding the Fourth Proportional to 818.76, 1,226.96 and 472.08

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Solution

The fourth proportional to 818.76, 1,226.96 and 472.08 is: 707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.76 : 1,226.96 = 472.08 : x
  2. Step 2: Convert to fraction form
    818.76/1,226.96 = 472.08/x
  3. Step 3: Cross multiply
    818.76x = 1,226.96 × 472.08
  4. Step 4: Simplify right side
    818.76x = 579,223.28
  5. Step 5: Solve for x
    x = 579,223.28/818.76
  6. Step 6: Final answer
    x = 707.44

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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.