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Finding the Fourth Proportional to 1,337.45, 1,845.37 and 960.53

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Solution

The fourth proportional to 1,337.45, 1,845.37 and 960.53 is: 1,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.45 : 1,845.37 = 960.53 : x
  2. Step 2: Convert to fraction form
    1,337.45/1,845.37 = 960.53/x
  3. Step 3: Cross multiply
    1,337.45x = 1,845.37 × 960.53
  4. Step 4: Simplify right side
    1,337.45x = 1,772,533.25
  5. Step 5: Solve for x
    x = 1,772,533.25/1,337.45
  6. Step 6: Final answer
    x = 1,325.31

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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.