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Finding the Fourth Proportional to 894.52, 1,341.62 and 245.10

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Solution

The fourth proportional to 894.52, 1,341.62 and 245.10 is: 367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.52 : 1,341.62 = 245.10 : x
  2. Step 2: Convert to fraction form
    894.52/1,341.62 = 245.10/x
  3. Step 3: Cross multiply
    894.52x = 1,341.62 × 245.10
  4. Step 4: Simplify right side
    894.52x = 328,831.06
  5. Step 5: Solve for x
    x = 328,831.06/894.52
  6. Step 6: Final answer
    x = 367.61

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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.