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Finding the Fourth Proportional to 1,020.85, 1,530.16 and 731.41

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Solution

The fourth proportional to 1,020.85, 1,530.16 and 731.41 is: 1,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.85 : 1,530.16 = 731.41 : x
  2. Step 2: Convert to fraction form
    1,020.85/1,530.16 = 731.41/x
  3. Step 3: Cross multiply
    1,020.85x = 1,530.16 × 731.41
  4. Step 4: Simplify right side
    1,020.85x = 1,119,174.33
  5. Step 5: Solve for x
    x = 1,119,174.33/1,020.85
  6. Step 6: Final answer
    x = 1,096.32

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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.