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Finding the Fourth Proportional to 1,376.64, 2,065.43 and 402.89

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Solution

The fourth proportional to 1,376.64, 2,065.43 and 402.89 is: 604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.64 : 2,065.43 = 402.89 : x
  2. Step 2: Convert to fraction form
    1,376.64/2,065.43 = 402.89/x
  3. Step 3: Cross multiply
    1,376.64x = 2,065.43 × 402.89
  4. Step 4: Simplify right side
    1,376.64x = 832,128.75
  5. Step 5: Solve for x
    x = 832,128.75/1,376.64
  6. Step 6: Final answer
    x = 604.46

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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.