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Finding the Fourth Proportional to 1,750.28, 2,625.46 and 596.02

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Solution

The fourth proportional to 1,750.28, 2,625.46 and 596.02 is: 894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.28 : 2,625.46 = 596.02 : x
  2. Step 2: Convert to fraction form
    1,750.28/2,625.46 = 596.02/x
  3. Step 3: Cross multiply
    1,750.28x = 2,625.46 × 596.02
  4. Step 4: Simplify right side
    1,750.28x = 1,564,826.67
  5. Step 5: Solve for x
    x = 1,564,826.67/1,750.28
  6. Step 6: Final answer
    x = 894.04

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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.