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Finding the Fourth Proportional to 894.50, 1,341.69 and 245.24

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Solution

The fourth proportional to 894.50, 1,341.69 and 245.24 is: 367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.50 : 1,341.69 = 245.24 : x
  2. Step 2: Convert to fraction form
    894.50/1,341.69 = 245.24/x
  3. Step 3: Cross multiply
    894.50x = 1,341.69 × 245.24
  4. Step 4: Simplify right side
    894.50x = 329,036.06
  5. Step 5: Solve for x
    x = 329,036.06/894.50
  6. Step 6: Final answer
    x = 367.84

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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.