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Finding the Fourth Proportional to 870.53, 1,305.63 and 254.09

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Solution

The fourth proportional to 870.53, 1,305.63 and 254.09 is: 381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.53 : 1,305.63 = 254.09 : x
  2. Step 2: Convert to fraction form
    870.53/1,305.63 = 254.09/x
  3. Step 3: Cross multiply
    870.53x = 1,305.63 × 254.09
  4. Step 4: Simplify right side
    870.53x = 331,747.53
  5. Step 5: Solve for x
    x = 331,747.53/870.53
  6. Step 6: Final answer
    x = 381.09

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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.