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Finding the Fourth Proportional to 1,368.23, 2,053.22 and 675.27

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Solution

The fourth proportional to 1,368.23, 2,053.22 and 675.27 is: 1,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.23 : 2,053.22 = 675.27 : x
  2. Step 2: Convert to fraction form
    1,368.23/2,053.22 = 675.27/x
  3. Step 3: Cross multiply
    1,368.23x = 2,053.22 × 675.27
  4. Step 4: Simplify right side
    1,368.23x = 1,386,474.49
  5. Step 5: Solve for x
    x = 1,386,474.49/1,368.23
  6. Step 6: Final answer
    x = 1,013.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.