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Finding the Fourth Proportional to 1,008.03, 1,512.03 and 520.80

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Solution

The fourth proportional to 1,008.03, 1,512.03 and 520.80 is: 781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.03 : 1,512.03 = 520.80 : x
  2. Step 2: Convert to fraction form
    1,008.03/1,512.03 = 520.80/x
  3. Step 3: Cross multiply
    1,008.03x = 1,512.03 × 520.80
  4. Step 4: Simplify right side
    1,008.03x = 787,465.22
  5. Step 5: Solve for x
    x = 787,465.22/1,008.03
  6. Step 6: Final answer
    x = 781.19

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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.