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Finding the Fourth Proportional to 1,022.85, 1,536.03 and 976.68

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Solution

The fourth proportional to 1,022.85, 1,536.03 and 976.68 is: 1,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.85 : 1,536.03 = 976.68 : x
  2. Step 2: Convert to fraction form
    1,022.85/1,536.03 = 976.68/x
  3. Step 3: Cross multiply
    1,022.85x = 1,536.03 × 976.68
  4. Step 4: Simplify right side
    1,022.85x = 1,500,209.78
  5. Step 5: Solve for x
    x = 1,500,209.78/1,022.85
  6. Step 6: Final answer
    x = 1,466.70

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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.