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Finding the Fourth Proportional to 894.36, 1,332.24 and 844.68

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Solution

The fourth proportional to 894.36, 1,332.24 and 844.68 is: 1,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.36 : 1,332.24 = 844.68 : x
  2. Step 2: Convert to fraction form
    894.36/1,332.24 = 844.68/x
  3. Step 3: Cross multiply
    894.36x = 1,332.24 × 844.68
  4. Step 4: Simplify right side
    894.36x = 1,125,316.48
  5. Step 5: Solve for x
    x = 1,125,316.48/894.36
  6. Step 6: Final answer
    x = 1,258.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.