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Finding the Fourth Proportional to 1,075.46, 1,484.34 and 682.52

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Solution

The fourth proportional to 1,075.46, 1,484.34 and 682.52 is: 942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.46 : 1,484.34 = 682.52 : x
  2. Step 2: Convert to fraction form
    1,075.46/1,484.34 = 682.52/x
  3. Step 3: Cross multiply
    1,075.46x = 1,484.34 × 682.52
  4. Step 4: Simplify right side
    1,075.46x = 1,013,091.74
  5. Step 5: Solve for x
    x = 1,013,091.74/1,075.46
  6. Step 6: Final answer
    x = 942.01

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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.