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Finding the Fourth Proportional to 1,141.82, 1,575.63 and 644.51

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Solution

The fourth proportional to 1,141.82, 1,575.63 and 644.51 is: 889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.82 : 1,575.63 = 644.51 : x
  2. Step 2: Convert to fraction form
    1,141.82/1,575.63 = 644.51/x
  3. Step 3: Cross multiply
    1,141.82x = 1,575.63 × 644.51
  4. Step 4: Simplify right side
    1,141.82x = 1,015,502.55
  5. Step 5: Solve for x
    x = 1,015,502.55/1,141.82
  6. Step 6: Final answer
    x = 889.37

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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.