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Finding the Fourth Proportional to 1,252.81, 1,879.53 and 522.01

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Solution

The fourth proportional to 1,252.81, 1,879.53 and 522.01 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.81 : 1,879.53 = 522.01 : x
  2. Step 2: Convert to fraction form
    1,252.81/1,879.53 = 522.01/x
  3. Step 3: Cross multiply
    1,252.81x = 1,879.53 × 522.01
  4. Step 4: Simplify right side
    1,252.81x = 981,133.46
  5. Step 5: Solve for x
    x = 981,133.46/1,252.81
  6. Step 6: Final answer
    x = 783.15

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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.