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Finding the Fourth Proportional to 1,420.72, 1,960.84 and 897.04

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Solution

The fourth proportional to 1,420.72, 1,960.84 and 897.04 is: 1,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.72 : 1,960.84 = 897.04 : x
  2. Step 2: Convert to fraction form
    1,420.72/1,960.84 = 897.04/x
  3. Step 3: Cross multiply
    1,420.72x = 1,960.84 × 897.04
  4. Step 4: Simplify right side
    1,420.72x = 1,758,951.91
  5. Step 5: Solve for x
    x = 1,758,951.91/1,420.72
  6. Step 6: Final answer
    x = 1,238.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.