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Finding the Fourth Proportional to 1,075.68, 1,479.78 and 949.32

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Solution

The fourth proportional to 1,075.68, 1,479.78 and 949.32 is: 1,305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.68 : 1,479.78 = 949.32 : x
  2. Step 2: Convert to fraction form
    1,075.68/1,479.78 = 949.32/x
  3. Step 3: Cross multiply
    1,075.68x = 1,479.78 × 949.32
  4. Step 4: Simplify right side
    1,075.68x = 1,404,784.75
  5. Step 5: Solve for x
    x = 1,404,784.75/1,075.68
  6. Step 6: Final answer
    x = 1,305.95

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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.