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Finding the Fourth Proportional to 1,407.46, 1,940.46 and 964.60

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Solution

The fourth proportional to 1,407.46, 1,940.46 and 964.60 is: 1,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.46 : 1,940.46 = 964.60 : x
  2. Step 2: Convert to fraction form
    1,407.46/1,940.46 = 964.60/x
  3. Step 3: Cross multiply
    1,407.46x = 1,940.46 × 964.60
  4. Step 4: Simplify right side
    1,407.46x = 1,871,767.72
  5. Step 5: Solve for x
    x = 1,871,767.72/1,407.46
  6. Step 6: Final answer
    x = 1,329.89

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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.