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Finding the Fourth Proportional to 1,100.45, 1,518.44 and 708.01

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Solution

The fourth proportional to 1,100.45, 1,518.44 and 708.01 is: 976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.45 : 1,518.44 = 708.01 : x
  2. Step 2: Convert to fraction form
    1,100.45/1,518.44 = 708.01/x
  3. Step 3: Cross multiply
    1,100.45x = 1,518.44 × 708.01
  4. Step 4: Simplify right side
    1,100.45x = 1,075,063.37
  5. Step 5: Solve for x
    x = 1,075,063.37/1,100.45
  6. Step 6: Final answer
    x = 976.93

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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.