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Finding the Fourth Proportional to 1,018.36, 1,527.61 and 325.07

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Solution

The fourth proportional to 1,018.36, 1,527.61 and 325.07 is: 487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.36 : 1,527.61 = 325.07 : x
  2. Step 2: Convert to fraction form
    1,018.36/1,527.61 = 325.07/x
  3. Step 3: Cross multiply
    1,018.36x = 1,527.61 × 325.07
  4. Step 4: Simplify right side
    1,018.36x = 496,580.18
  5. Step 5: Solve for x
    x = 496,580.18/1,018.36
  6. Step 6: Final answer
    x = 487.63

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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.