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Finding the Fourth Proportional to 1,240.08, 1,709.64 and 846.24

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Solution

The fourth proportional to 1,240.08, 1,709.64 and 846.24 is: 1,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.08 : 1,709.64 = 846.24 : x
  2. Step 2: Convert to fraction form
    1,240.08/1,709.64 = 846.24/x
  3. Step 3: Cross multiply
    1,240.08x = 1,709.64 × 846.24
  4. Step 4: Simplify right side
    1,240.08x = 1,446,765.75
  5. Step 5: Solve for x
    x = 1,446,765.75/1,240.08
  6. Step 6: Final answer
    x = 1,166.67

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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.