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Finding the Fourth Proportional to 1,018.55, 1,527.73 and 325.09

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Solution

The fourth proportional to 1,018.55, 1,527.73 and 325.09 is: 487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.55 : 1,527.73 = 325.09 : x
  2. Step 2: Convert to fraction form
    1,018.55/1,527.73 = 325.09/x
  3. Step 3: Cross multiply
    1,018.55x = 1,527.73 × 325.09
  4. Step 4: Simplify right side
    1,018.55x = 496,649.75
  5. Step 5: Solve for x
    x = 496,649.75/1,018.55
  6. Step 6: Final answer
    x = 487.60

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Why These Related Problems?

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