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Finding the Fourth Proportional to 1,244.51, 1,867.03 and 378.80

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Solution

The fourth proportional to 1,244.51, 1,867.03 and 378.80 is: 568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.51 : 1,867.03 = 378.80 : x
  2. Step 2: Convert to fraction form
    1,244.51/1,867.03 = 378.80/x
  3. Step 3: Cross multiply
    1,244.51x = 1,867.03 × 378.80
  4. Step 4: Simplify right side
    1,244.51x = 707,225.25
  5. Step 5: Solve for x
    x = 707,225.25/1,244.51
  6. Step 6: Final answer
    x = 568.28

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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.