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Finding the Fourth Proportional to 1,051.23, 1,450.83 and 678.07

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Solution

The fourth proportional to 1,051.23, 1,450.83 and 678.07 is: 935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.23 : 1,450.83 = 678.07 : x
  2. Step 2: Convert to fraction form
    1,051.23/1,450.83 = 678.07/x
  3. Step 3: Cross multiply
    1,051.23x = 1,450.83 × 678.07
  4. Step 4: Simplify right side
    1,051.23x = 983,764.30
  5. Step 5: Solve for x
    x = 983,764.30/1,051.23
  6. Step 6: Final answer
    x = 935.82

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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.