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Finding the Fourth Proportional to 1,174.08, 1,619.49 and 701.67

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Solution

The fourth proportional to 1,174.08, 1,619.49 and 701.67 is: 967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.08 : 1,619.49 = 701.67 : x
  2. Step 2: Convert to fraction form
    1,174.08/1,619.49 = 701.67/x
  3. Step 3: Cross multiply
    1,174.08x = 1,619.49 × 701.67
  4. Step 4: Simplify right side
    1,174.08x = 1,136,347.55
  5. Step 5: Solve for x
    x = 1,136,347.55/1,174.08
  6. Step 6: Final answer
    x = 967.86

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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.