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Finding the Fourth Proportional to 1,071.84, 1,478.97 and 629.67

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Solution

The fourth proportional to 1,071.84, 1,478.97 and 629.67 is: 868.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.84 : 1,478.97 = 629.67 : x
  2. Step 2: Convert to fraction form
    1,071.84/1,478.97 = 629.67/x
  3. Step 3: Cross multiply
    1,071.84x = 1,478.97 × 629.67
  4. Step 4: Simplify right side
    1,071.84x = 931,263.04
  5. Step 5: Solve for x
    x = 931,263.04/1,071.84
  6. Step 6: Final answer
    x = 868.85

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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.