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Finding the Fourth Proportional to 1,048.34, 1,446.81 and 628.81

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Solution

The fourth proportional to 1,048.34, 1,446.81 and 628.81 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.34 : 1,446.81 = 628.81 : x
  2. Step 2: Convert to fraction form
    1,048.34/1,446.81 = 628.81/x
  3. Step 3: Cross multiply
    1,048.34x = 1,446.81 × 628.81
  4. Step 4: Simplify right side
    1,048.34x = 909,768.60
  5. Step 5: Solve for x
    x = 909,768.60/1,048.34
  6. Step 6: Final answer
    x = 867.82

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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.