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Finding the Fourth Proportional to 1,012.09, 1,518.73 and 427.06

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Solution

The fourth proportional to 1,012.09, 1,518.73 and 427.06 is: 640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.09 : 1,518.73 = 427.06 : x
  2. Step 2: Convert to fraction form
    1,012.09/1,518.73 = 427.06/x
  3. Step 3: Cross multiply
    1,012.09x = 1,518.73 × 427.06
  4. Step 4: Simplify right side
    1,012.09x = 648,588.83
  5. Step 5: Solve for x
    x = 648,588.83/1,012.09
  6. Step 6: Final answer
    x = 640.84

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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.