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Finding the Fourth Proportional to 1,008.03, 1,512.14 and 460.13

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Solution

The fourth proportional to 1,008.03, 1,512.14 and 460.13 is: 690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.03 : 1,512.14 = 460.13 : x
  2. Step 2: Convert to fraction form
    1,008.03/1,512.14 = 460.13/x
  3. Step 3: Cross multiply
    1,008.03x = 1,512.14 × 460.13
  4. Step 4: Simplify right side
    1,008.03x = 695,771.12
  5. Step 5: Solve for x
    x = 695,771.12/1,008.03
  6. Step 6: Final answer
    x = 690.23

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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.