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Finding the Fourth Proportional to 1,252.90, 1,879.89 and 522.64

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Solution

The fourth proportional to 1,252.90, 1,879.89 and 522.64 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.90 : 1,879.89 = 522.64 : x
  2. Step 2: Convert to fraction form
    1,252.90/1,879.89 = 522.64/x
  3. Step 3: Cross multiply
    1,252.90x = 1,879.89 × 522.64
  4. Step 4: Simplify right side
    1,252.90x = 982,505.71
  5. Step 5: Solve for x
    x = 982,505.71/1,252.90
  6. Step 6: Final answer
    x = 784.19

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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.