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Finding the Fourth Proportional to 924.05, 1,275.83 and 865.24

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Solution

The fourth proportional to 924.05, 1,275.83 and 865.24 is: 1,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.05 : 1,275.83 = 865.24 : x
  2. Step 2: Convert to fraction form
    924.05/1,275.83 = 865.24/x
  3. Step 3: Cross multiply
    924.05x = 1,275.83 × 865.24
  4. Step 4: Simplify right side
    924.05x = 1,103,898.12
  5. Step 5: Solve for x
    x = 1,103,898.12/924.05
  6. Step 6: Final answer
    x = 1,194.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.