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Finding the Fourth Proportional to 1,143.36, 1,577.84 and 619.38

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Solution

The fourth proportional to 1,143.36, 1,577.84 and 619.38 is: 854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.36 : 1,577.84 = 619.38 : x
  2. Step 2: Convert to fraction form
    1,143.36/1,577.84 = 619.38/x
  3. Step 3: Cross multiply
    1,143.36x = 1,577.84 × 619.38
  4. Step 4: Simplify right side
    1,143.36x = 977,279.44
  5. Step 5: Solve for x
    x = 977,279.44/1,143.36
  6. Step 6: Final answer
    x = 854.74

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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.