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Finding the Fourth Proportional to 1,106, 1,647.94 and 1,039.76

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Solution

The fourth proportional to 1,106, 1,647.94 and 1,039.76 is: 1,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106 : 1,647.94 = 1,039.76 : x
  2. Step 2: Convert to fraction form
    1,106/1,647.94 = 1,039.76/x
  3. Step 3: Cross multiply
    1,106x = 1,647.94 × 1,039.76
  4. Step 4: Simplify right side
    1,106x = 1,713,462.09
  5. Step 5: Solve for x
    x = 1,713,462.09/1,106
  6. Step 6: Final answer
    x = 1,549.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.