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Finding the Fourth Proportional to 1,143.14, 1,577.53 and 619.16

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Solution

The fourth proportional to 1,143.14, 1,577.53 and 619.16 is: 854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.14 : 1,577.53 = 619.16 : x
  2. Step 2: Convert to fraction form
    1,143.14/1,577.53 = 619.16/x
  3. Step 3: Cross multiply
    1,143.14x = 1,577.53 × 619.16
  4. Step 4: Simplify right side
    1,143.14x = 976,745.87
  5. Step 5: Solve for x
    x = 976,745.87/1,143.14
  6. Step 6: Final answer
    x = 854.44

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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.