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Finding the Fourth Proportional to 1,008.47, 1,512.50 and 350.34

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Solution

The fourth proportional to 1,008.47, 1,512.50 and 350.34 is: 525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.47 : 1,512.50 = 350.34 : x
  2. Step 2: Convert to fraction form
    1,008.47/1,512.50 = 350.34/x
  3. Step 3: Cross multiply
    1,008.47x = 1,512.50 × 350.34
  4. Step 4: Simplify right side
    1,008.47x = 529,887.50
  5. Step 5: Solve for x
    x = 529,887.50/1,008.47
  6. Step 6: Final answer
    x = 525.44

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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.