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Finding the Fourth Proportional to 1,116.94, 1,672.89 and 596.02

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Solution

The fourth proportional to 1,116.94, 1,672.89 and 596.02 is: 892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.94 : 1,672.89 = 596.02 : x
  2. Step 2: Convert to fraction form
    1,116.94/1,672.89 = 596.02/x
  3. Step 3: Cross multiply
    1,116.94x = 1,672.89 × 596.02
  4. Step 4: Simplify right side
    1,116.94x = 997,075.90
  5. Step 5: Solve for x
    x = 997,075.90/1,116.94
  6. Step 6: Final answer
    x = 892.69

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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.