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Finding the Fourth Proportional to 1,092.51, 1,507.40 and 644.41

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Solution

The fourth proportional to 1,092.51, 1,507.40 and 644.41 is: 889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.51 : 1,507.40 = 644.41 : x
  2. Step 2: Convert to fraction form
    1,092.51/1,507.40 = 644.41/x
  3. Step 3: Cross multiply
    1,092.51x = 1,507.40 × 644.41
  4. Step 4: Simplify right side
    1,092.51x = 971,379.87
  5. Step 5: Solve for x
    x = 971,379.87/1,092.51
  6. Step 6: Final answer
    x = 889.12

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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.