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Finding the Fourth Proportional to 894.68, 1,345.24 and 823.40

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Solution

The fourth proportional to 894.68, 1,345.24 and 823.40 is: 1,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.68 : 1,345.24 = 823.40 : x
  2. Step 2: Convert to fraction form
    894.68/1,345.24 = 823.40/x
  3. Step 3: Cross multiply
    894.68x = 1,345.24 × 823.40
  4. Step 4: Simplify right side
    894.68x = 1,107,670.62
  5. Step 5: Solve for x
    x = 1,107,670.62/894.68
  6. Step 6: Final answer
    x = 1,238.06

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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.