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Finding the Fourth Proportional to 1,407.71, 1,940.82 and 964.82

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Solution

The fourth proportional to 1,407.71, 1,940.82 and 964.82 is: 1,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.71 : 1,940.82 = 964.82 : x
  2. Step 2: Convert to fraction form
    1,407.71/1,940.82 = 964.82/x
  3. Step 3: Cross multiply
    1,407.71x = 1,940.82 × 964.82
  4. Step 4: Simplify right side
    1,407.71x = 1,872,541.95
  5. Step 5: Solve for x
    x = 1,872,541.95/1,407.71
  6. Step 6: Final answer
    x = 1,330.20

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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.