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Finding the Fourth Proportional to 1,302.67, 1,798.37 and 1,040.23

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Solution

The fourth proportional to 1,302.67, 1,798.37 and 1,040.23 is: 1,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.67 : 1,798.37 = 1,040.23 : x
  2. Step 2: Convert to fraction form
    1,302.67/1,798.37 = 1,040.23/x
  3. Step 3: Cross multiply
    1,302.67x = 1,798.37 × 1,040.23
  4. Step 4: Simplify right side
    1,302.67x = 1,870,718.43
  5. Step 5: Solve for x
    x = 1,870,718.43/1,302.67
  6. Step 6: Final answer
    x = 1,436.06

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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.