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Finding the Fourth Proportional to 1,396.56, 1,925.80 and 1,065.04

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Solution

The fourth proportional to 1,396.56, 1,925.80 and 1,065.04 is: 1,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.56 : 1,925.80 = 1,065.04 : x
  2. Step 2: Convert to fraction form
    1,396.56/1,925.80 = 1,065.04/x
  3. Step 3: Cross multiply
    1,396.56x = 1,925.80 × 1,065.04
  4. Step 4: Simplify right side
    1,396.56x = 2,051,054.03
  5. Step 5: Solve for x
    x = 2,051,054.03/1,396.56
  6. Step 6: Final answer
    x = 1,468.65

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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.