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Finding the Fourth Proportional to 1,035.27, 1,428.93 and 662.67

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Solution

The fourth proportional to 1,035.27, 1,428.93 and 662.67 is: 914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.27 : 1,428.93 = 662.67 : x
  2. Step 2: Convert to fraction form
    1,035.27/1,428.93 = 662.67/x
  3. Step 3: Cross multiply
    1,035.27x = 1,428.93 × 662.67
  4. Step 4: Simplify right side
    1,035.27x = 946,909.04
  5. Step 5: Solve for x
    x = 946,909.04/1,035.27
  6. Step 6: Final answer
    x = 914.65

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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.