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Finding the Fourth Proportional to 1,143.05, 1,577.42 and 645.69

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Solution

The fourth proportional to 1,143.05, 1,577.42 and 645.69 is: 891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.05 : 1,577.42 = 645.69 : x
  2. Step 2: Convert to fraction form
    1,143.05/1,577.42 = 645.69/x
  3. Step 3: Cross multiply
    1,143.05x = 1,577.42 × 645.69
  4. Step 4: Simplify right side
    1,143.05x = 1,018,521.09
  5. Step 5: Solve for x
    x = 1,018,521.09/1,143.05
  6. Step 6: Final answer
    x = 891.06

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