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Finding the Fourth Proportional to 817.44, 1,225.14 and 452.46

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Solution

The fourth proportional to 817.44, 1,225.14 and 452.46 is: 678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.44 : 1,225.14 = 452.46 : x
  2. Step 2: Convert to fraction form
    817.44/1,225.14 = 452.46/x
  3. Step 3: Cross multiply
    817.44x = 1,225.14 × 452.46
  4. Step 4: Simplify right side
    817.44x = 554,326.84
  5. Step 5: Solve for x
    x = 554,326.84/817.44
  6. Step 6: Final answer
    x = 678.13

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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.