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Finding the Fourth Proportional to 1,300.92, 1,794.72 and 858.72

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Solution

The fourth proportional to 1,300.92, 1,794.72 and 858.72 is: 1,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.92 : 1,794.72 = 858.72 : x
  2. Step 2: Convert to fraction form
    1,300.92/1,794.72 = 858.72/x
  3. Step 3: Cross multiply
    1,300.92x = 1,794.72 × 858.72
  4. Step 4: Simplify right side
    1,300.92x = 1,541,161.96
  5. Step 5: Solve for x
    x = 1,541,161.96/1,300.92
  6. Step 6: Final answer
    x = 1,184.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.