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Finding the Fourth Proportional to 1,112.98, 1,669.34 and 291.33

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Solution

The fourth proportional to 1,112.98, 1,669.34 and 291.33 is: 436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.98 : 1,669.34 = 291.33 : x
  2. Step 2: Convert to fraction form
    1,112.98/1,669.34 = 291.33/x
  3. Step 3: Cross multiply
    1,112.98x = 1,669.34 × 291.33
  4. Step 4: Simplify right side
    1,112.98x = 486,328.82
  5. Step 5: Solve for x
    x = 486,328.82/1,112.98
  6. Step 6: Final answer
    x = 436.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.