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Finding the Fourth Proportional to 818.78, 1,228.52 and 325.35

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Solution

The fourth proportional to 818.78, 1,228.52 and 325.35 is: 488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.78 : 1,228.52 = 325.35 : x
  2. Step 2: Convert to fraction form
    818.78/1,228.52 = 325.35/x
  3. Step 3: Cross multiply
    818.78x = 1,228.52 × 325.35
  4. Step 4: Simplify right side
    818.78x = 399,699.80
  5. Step 5: Solve for x
    x = 399,699.80/818.78
  6. Step 6: Final answer
    x = 488.17

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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.