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Finding the Fourth Proportional to 817.16, 1,224.66 and 451.40

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Solution

The fourth proportional to 817.16, 1,224.66 and 451.40 is: 676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.16 : 1,224.66 = 451.40 : x
  2. Step 2: Convert to fraction form
    817.16/1,224.66 = 451.40/x
  3. Step 3: Cross multiply
    817.16x = 1,224.66 × 451.40
  4. Step 4: Simplify right side
    817.16x = 552,811.52
  5. Step 5: Solve for x
    x = 552,811.52/817.16
  6. Step 6: Final answer
    x = 676.50

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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.