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Finding the Fourth Proportional to 1,047.99, 1,446.18 and 628.59

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Solution

The fourth proportional to 1,047.99, 1,446.18 and 628.59 is: 867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.99 : 1,446.18 = 628.59 : x
  2. Step 2: Convert to fraction form
    1,047.99/1,446.18 = 628.59/x
  3. Step 3: Cross multiply
    1,047.99x = 1,446.18 × 628.59
  4. Step 4: Simplify right side
    1,047.99x = 909,054.29
  5. Step 5: Solve for x
    x = 909,054.29/1,047.99
  6. Step 6: Final answer
    x = 867.43

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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.