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Finding the Fourth Proportional to 1,436.66, 2,155.42 and 604.12

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Solution

The fourth proportional to 1,436.66, 2,155.42 and 604.12 is: 906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.66 : 2,155.42 = 604.12 : x
  2. Step 2: Convert to fraction form
    1,436.66/2,155.42 = 604.12/x
  3. Step 3: Cross multiply
    1,436.66x = 2,155.42 × 604.12
  4. Step 4: Simplify right side
    1,436.66x = 1,302,132.33
  5. Step 5: Solve for x
    x = 1,302,132.33/1,436.66
  6. Step 6: Final answer
    x = 906.36

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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.