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Finding the Fourth Proportional to 1,152.04, 1,720.25 and 905.80

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Solution

The fourth proportional to 1,152.04, 1,720.25 and 905.80 is: 1,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.04 : 1,720.25 = 905.80 : x
  2. Step 2: Convert to fraction form
    1,152.04/1,720.25 = 905.80/x
  3. Step 3: Cross multiply
    1,152.04x = 1,720.25 × 905.80
  4. Step 4: Simplify right side
    1,152.04x = 1,558,202.45
  5. Step 5: Solve for x
    x = 1,558,202.45/1,152.04
  6. Step 6: Final answer
    x = 1,352.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.