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Finding the Fourth Proportional to 1,396.24, 2,094.59 and 471.79

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Solution

The fourth proportional to 1,396.24, 2,094.59 and 471.79 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.24 : 2,094.59 = 471.79 : x
  2. Step 2: Convert to fraction form
    1,396.24/2,094.59 = 471.79/x
  3. Step 3: Cross multiply
    1,396.24x = 2,094.59 × 471.79
  4. Step 4: Simplify right side
    1,396.24x = 988,210.41
  5. Step 5: Solve for x
    x = 988,210.41/1,396.24
  6. Step 6: Final answer
    x = 707.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.