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Finding the Fourth Proportional to 1,396.94, 1,925.72 and 1,064.79

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Solution

The fourth proportional to 1,396.94, 1,925.72 and 1,064.79 is: 1,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.94 : 1,925.72 = 1,064.79 : x
  2. Step 2: Convert to fraction form
    1,396.94/1,925.72 = 1,064.79/x
  3. Step 3: Cross multiply
    1,396.94x = 1,925.72 × 1,064.79
  4. Step 4: Simplify right side
    1,396.94x = 2,050,487.40
  5. Step 5: Solve for x
    x = 2,050,487.40/1,396.94
  6. Step 6: Final answer
    x = 1,467.84

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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.