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Finding the Fourth Proportional to 1,445.97, 2,168.61 and 406.02

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Solution

The fourth proportional to 1,445.97, 2,168.61 and 406.02 is: 608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.97 : 2,168.61 = 406.02 : x
  2. Step 2: Convert to fraction form
    1,445.97/2,168.61 = 406.02/x
  3. Step 3: Cross multiply
    1,445.97x = 2,168.61 × 406.02
  4. Step 4: Simplify right side
    1,445.97x = 880,499.03
  5. Step 5: Solve for x
    x = 880,499.03/1,445.97
  6. Step 6: Final answer
    x = 608.93

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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.