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Finding the Fourth Proportional to 1,143.44, 1,577.94 and 619.47

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Solution

The fourth proportional to 1,143.44, 1,577.94 and 619.47 is: 854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.44 : 1,577.94 = 619.47 : x
  2. Step 2: Convert to fraction form
    1,143.44/1,577.94 = 619.47/x
  3. Step 3: Cross multiply
    1,143.44x = 1,577.94 × 619.47
  4. Step 4: Simplify right side
    1,143.44x = 977,486.49
  5. Step 5: Solve for x
    x = 977,486.49/1,143.44
  6. Step 6: Final answer
    x = 854.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.