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Finding the Fourth Proportional to 1,040.06, 1,433.89 and 862.35

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Solution

The fourth proportional to 1,040.06, 1,433.89 and 862.35 is: 1,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.06 : 1,433.89 = 862.35 : x
  2. Step 2: Convert to fraction form
    1,040.06/1,433.89 = 862.35/x
  3. Step 3: Cross multiply
    1,040.06x = 1,433.89 × 862.35
  4. Step 4: Simplify right side
    1,040.06x = 1,236,515.04
  5. Step 5: Solve for x
    x = 1,236,515.04/1,040.06
  6. Step 6: Final answer
    x = 1,188.89

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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.