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Finding the Fourth Proportional to 924.58, 1,388.28 and 796

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Solution

The fourth proportional to 924.58, 1,388.28 and 796 is: 1,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.58 : 1,388.28 = 796 : x
  2. Step 2: Convert to fraction form
    924.58/1,388.28 = 796/x
  3. Step 3: Cross multiply
    924.58x = 1,388.28 × 796
  4. Step 4: Simplify right side
    924.58x = 1,105,070.88
  5. Step 5: Solve for x
    x = 1,105,070.88/924.58
  6. Step 6: Final answer
    x = 1,195.21

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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.