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Finding the Fourth Proportional to 1,501.75, 2,253.93 and 771.73

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Solution

The fourth proportional to 1,501.75, 2,253.93 and 771.73 is: 1,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.75 : 2,253.93 = 771.73 : x
  2. Step 2: Convert to fraction form
    1,501.75/2,253.93 = 771.73/x
  3. Step 3: Cross multiply
    1,501.75x = 2,253.93 × 771.73
  4. Step 4: Simplify right side
    1,501.75x = 1,739,425.40
  5. Step 5: Solve for x
    x = 1,739,425.40/1,501.75
  6. Step 6: Final answer
    x = 1,158.27

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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.