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Finding the Fourth Proportional to 1,020.30, 1,530.86 and 327.08

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Solution

The fourth proportional to 1,020.30, 1,530.86 and 327.08 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.30 : 1,530.86 = 327.08 : x
  2. Step 2: Convert to fraction form
    1,020.30/1,530.86 = 327.08/x
  3. Step 3: Cross multiply
    1,020.30x = 1,530.86 × 327.08
  4. Step 4: Simplify right side
    1,020.30x = 500,704.40
  5. Step 5: Solve for x
    x = 500,704.40/1,020.30
  6. Step 6: Final answer
    x = 490.74

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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.