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Finding the Fourth Proportional to 818.02, 1,227.64 and 510.32

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Solution

The fourth proportional to 818.02, 1,227.64 and 510.32 is: 765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.02 : 1,227.64 = 510.32 : x
  2. Step 2: Convert to fraction form
    818.02/1,227.64 = 510.32/x
  3. Step 3: Cross multiply
    818.02x = 1,227.64 × 510.32
  4. Step 4: Simplify right side
    818.02x = 626,489.24
  5. Step 5: Solve for x
    x = 626,489.24/818.02
  6. Step 6: Final answer
    x = 765.86

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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.