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Finding the Fourth Proportional to 1,033.56, 1,549.67 and 513.41

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Solution

The fourth proportional to 1,033.56, 1,549.67 and 513.41 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.56 : 1,549.67 = 513.41 : x
  2. Step 2: Convert to fraction form
    1,033.56/1,549.67 = 513.41/x
  3. Step 3: Cross multiply
    1,033.56x = 1,549.67 × 513.41
  4. Step 4: Simplify right side
    1,033.56x = 795,605.76
  5. Step 5: Solve for x
    x = 795,605.76/1,033.56
  6. Step 6: Final answer
    x = 769.77

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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.