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Finding the Fourth Proportional to 1,203.76, 1,803.79 and 894.16

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Solution

The fourth proportional to 1,203.76, 1,803.79 and 894.16 is: 1,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.76 : 1,803.79 = 894.16 : x
  2. Step 2: Convert to fraction form
    1,203.76/1,803.79 = 894.16/x
  3. Step 3: Cross multiply
    1,203.76x = 1,803.79 × 894.16
  4. Step 4: Simplify right side
    1,203.76x = 1,612,876.87
  5. Step 5: Solve for x
    x = 1,612,876.87/1,203.76
  6. Step 6: Final answer
    x = 1,339.87

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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.