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Finding the Fourth Proportional to 1,143.38, 1,577.87 and 619.41

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Solution

The fourth proportional to 1,143.38, 1,577.87 and 619.41 is: 854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.38 : 1,577.87 = 619.41 : x
  2. Step 2: Convert to fraction form
    1,143.38/1,577.87 = 619.41/x
  3. Step 3: Cross multiply
    1,143.38x = 1,577.87 × 619.41
  4. Step 4: Simplify right side
    1,143.38x = 977,345.36
  5. Step 5: Solve for x
    x = 977,345.36/1,143.38
  6. Step 6: Final answer
    x = 854.79

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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.