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Finding the Fourth Proportional to 1,152.04, 1,589.79 and 654.67

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Solution

The fourth proportional to 1,152.04, 1,589.79 and 654.67 is: 903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.04 : 1,589.79 = 654.67 : x
  2. Step 2: Convert to fraction form
    1,152.04/1,589.79 = 654.67/x
  3. Step 3: Cross multiply
    1,152.04x = 1,589.79 × 654.67
  4. Step 4: Simplify right side
    1,152.04x = 1,040,787.82
  5. Step 5: Solve for x
    x = 1,040,787.82/1,152.04
  6. Step 6: Final answer
    x = 903.43

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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.