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Finding the Fourth Proportional to 1,570.72, 2,355.27 and 830.73

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Solution

The fourth proportional to 1,570.72, 2,355.27 and 830.73 is: 1,245.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.72 : 2,355.27 = 830.73 : x
  2. Step 2: Convert to fraction form
    1,570.72/2,355.27 = 830.73/x
  3. Step 3: Cross multiply
    1,570.72x = 2,355.27 × 830.73
  4. Step 4: Simplify right side
    1,570.72x = 1,956,593.45
  5. Step 5: Solve for x
    x = 1,956,593.45/1,570.72
  6. Step 6: Final answer
    x = 1,245.67

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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.