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Finding the Fourth Proportional to 1,485.59, 2,229.46 and 716.63

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Solution

The fourth proportional to 1,485.59, 2,229.46 and 716.63 is: 1,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.59 : 2,229.46 = 716.63 : x
  2. Step 2: Convert to fraction form
    1,485.59/2,229.46 = 716.63/x
  3. Step 3: Cross multiply
    1,485.59x = 2,229.46 × 716.63
  4. Step 4: Simplify right side
    1,485.59x = 1,597,684.98
  5. Step 5: Solve for x
    x = 1,597,684.98/1,485.59
  6. Step 6: Final answer
    x = 1,075.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.