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Finding the Fourth Proportional to 1,051.45, 1,450.71 and 678.54

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Solution

The fourth proportional to 1,051.45, 1,450.71 and 678.54 is: 936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.45 : 1,450.71 = 678.54 : x
  2. Step 2: Convert to fraction form
    1,051.45/1,450.71 = 678.54/x
  3. Step 3: Cross multiply
    1,051.45x = 1,450.71 × 678.54
  4. Step 4: Simplify right side
    1,051.45x = 984,370.20
  5. Step 5: Solve for x
    x = 984,370.20/1,051.45
  6. Step 6: Final answer
    x = 936.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.