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Finding the Fourth Proportional to 1,204.17, 1,802.84 and 792.07

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Solution

The fourth proportional to 1,204.17, 1,802.84 and 792.07 is: 1,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.17 : 1,802.84 = 792.07 : x
  2. Step 2: Convert to fraction form
    1,204.17/1,802.84 = 792.07/x
  3. Step 3: Cross multiply
    1,204.17x = 1,802.84 × 792.07
  4. Step 4: Simplify right side
    1,204.17x = 1,427,962.50
  5. Step 5: Solve for x
    x = 1,427,962.50/1,204.17
  6. Step 6: Final answer
    x = 1,185.85

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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.