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Finding the Fourth Proportional to 1,247.72, 1,870.07 and 552.89

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Solution

The fourth proportional to 1,247.72, 1,870.07 and 552.89 is: 828.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.72 : 1,870.07 = 552.89 : x
  2. Step 2: Convert to fraction form
    1,247.72/1,870.07 = 552.89/x
  3. Step 3: Cross multiply
    1,247.72x = 1,870.07 × 552.89
  4. Step 4: Simplify right side
    1,247.72x = 1,033,943.00
  5. Step 5: Solve for x
    x = 1,033,943.00/1,247.72
  6. Step 6: Final answer
    x = 828.67

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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.