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Finding the Fourth Proportional to 817.09, 1,225.02 and 384.14

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Solution

The fourth proportional to 817.09, 1,225.02 and 384.14 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.09 : 1,225.02 = 384.14 : x
  2. Step 2: Convert to fraction form
    817.09/1,225.02 = 384.14/x
  3. Step 3: Cross multiply
    817.09x = 1,225.02 × 384.14
  4. Step 4: Simplify right side
    817.09x = 470,579.18
  5. Step 5: Solve for x
    x = 470,579.18/817.09
  6. Step 6: Final answer
    x = 575.92

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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.