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Finding the Fourth Proportional to 1,284.41, 1,926.42 and 462.26

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Solution

The fourth proportional to 1,284.41, 1,926.42 and 462.26 is: 693.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.41 : 1,926.42 = 462.26 : x
  2. Step 2: Convert to fraction form
    1,284.41/1,926.42 = 462.26/x
  3. Step 3: Cross multiply
    1,284.41x = 1,926.42 × 462.26
  4. Step 4: Simplify right side
    1,284.41x = 890,509.99
  5. Step 5: Solve for x
    x = 890,509.99/1,284.41
  6. Step 6: Final answer
    x = 693.32

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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.