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Finding the Fourth Proportional to 917.48, 1,376.67 and 484.67

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Solution

The fourth proportional to 917.48, 1,376.67 and 484.67 is: 727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.48 : 1,376.67 = 484.67 : x
  2. Step 2: Convert to fraction form
    917.48/1,376.67 = 484.67/x
  3. Step 3: Cross multiply
    917.48x = 1,376.67 × 484.67
  4. Step 4: Simplify right side
    917.48x = 667,230.65
  5. Step 5: Solve for x
    x = 667,230.65/917.48
  6. Step 6: Final answer
    x = 727.24

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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.