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Finding the Fourth Proportional to 1,075.96, 1,485.12 and 682.84

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Solution

The fourth proportional to 1,075.96, 1,485.12 and 682.84 is: 942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.96 : 1,485.12 = 682.84 : x
  2. Step 2: Convert to fraction form
    1,075.96/1,485.12 = 682.84/x
  3. Step 3: Cross multiply
    1,075.96x = 1,485.12 × 682.84
  4. Step 4: Simplify right side
    1,075.96x = 1,014,099.34
  5. Step 5: Solve for x
    x = 1,014,099.34/1,075.96
  6. Step 6: Final answer
    x = 942.51

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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.