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Finding the Fourth Proportional to 1,253.76, 1,881.09 and 604.05

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Solution

The fourth proportional to 1,253.76, 1,881.09 and 604.05 is: 906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.76 : 1,881.09 = 604.05 : x
  2. Step 2: Convert to fraction form
    1,253.76/1,881.09 = 604.05/x
  3. Step 3: Cross multiply
    1,253.76x = 1,881.09 × 604.05
  4. Step 4: Simplify right side
    1,253.76x = 1,136,272.41
  5. Step 5: Solve for x
    x = 1,136,272.41/1,253.76
  6. Step 6: Final answer
    x = 906.29

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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.