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Finding the Fourth Proportional to 1,033.02, 1,549.10 and 512.83

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Solution

The fourth proportional to 1,033.02, 1,549.10 and 512.83 is: 769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.02 : 1,549.10 = 512.83 : x
  2. Step 2: Convert to fraction form
    1,033.02/1,549.10 = 512.83/x
  3. Step 3: Cross multiply
    1,033.02x = 1,549.10 × 512.83
  4. Step 4: Simplify right side
    1,033.02x = 794,417.21
  5. Step 5: Solve for x
    x = 794,417.21/1,033.02
  6. Step 6: Final answer
    x = 769.03

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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.