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Finding the Fourth Proportional to 1,376.79, 2,065.04 and 402.90

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Solution

The fourth proportional to 1,376.79, 2,065.04 and 402.90 is: 604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.79 : 2,065.04 = 402.90 : x
  2. Step 2: Convert to fraction form
    1,376.79/2,065.04 = 402.90/x
  3. Step 3: Cross multiply
    1,376.79x = 2,065.04 × 402.90
  4. Step 4: Simplify right side
    1,376.79x = 832,004.62
  5. Step 5: Solve for x
    x = 832,004.62/1,376.79
  6. Step 6: Final answer
    x = 604.31

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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.