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Finding the Fourth Proportional to 818.02, 1,226.50 and 297.93

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Solution

The fourth proportional to 818.02, 1,226.50 and 297.93 is: 446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.02 : 1,226.50 = 297.93 : x
  2. Step 2: Convert to fraction form
    818.02/1,226.50 = 297.93/x
  3. Step 3: Cross multiply
    818.02x = 1,226.50 × 297.93
  4. Step 4: Simplify right side
    818.02x = 365,411.15
  5. Step 5: Solve for x
    x = 365,411.15/818.02
  6. Step 6: Final answer
    x = 446.70

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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.