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Finding the Fourth Proportional to 1,034.49, 1,549.64 and 512.93

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Solution

The fourth proportional to 1,034.49, 1,549.64 and 512.93 is: 768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.49 : 1,549.64 = 512.93 : x
  2. Step 2: Convert to fraction form
    1,034.49/1,549.64 = 512.93/x
  3. Step 3: Cross multiply
    1,034.49x = 1,549.64 × 512.93
  4. Step 4: Simplify right side
    1,034.49x = 794,846.53
  5. Step 5: Solve for x
    x = 794,846.53/1,034.49
  6. Step 6: Final answer
    x = 768.35

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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.