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Finding the Fourth Proportional to 1,436.13, 1,980.45 and 1,200.42

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Solution

The fourth proportional to 1,436.13, 1,980.45 and 1,200.42 is: 1,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.13 : 1,980.45 = 1,200.42 : x
  2. Step 2: Convert to fraction form
    1,436.13/1,980.45 = 1,200.42/x
  3. Step 3: Cross multiply
    1,436.13x = 1,980.45 × 1,200.42
  4. Step 4: Simplify right side
    1,436.13x = 2,377,371.79
  5. Step 5: Solve for x
    x = 2,377,371.79/1,436.13
  6. Step 6: Final answer
    x = 1,655.40

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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.