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Finding the Fourth Proportional to 817.59, 1,225.13 and 447.18

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Solution

The fourth proportional to 817.59, 1,225.13 and 447.18 is: 670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.59 : 1,225.13 = 447.18 : x
  2. Step 2: Convert to fraction form
    817.59/1,225.13 = 447.18/x
  3. Step 3: Cross multiply
    817.59x = 1,225.13 × 447.18
  4. Step 4: Simplify right side
    817.59x = 547,851.40
  5. Step 5: Solve for x
    x = 547,851.40/817.59
  6. Step 6: Final answer
    x = 670.08

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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.