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Finding the Fourth Proportional to 1,086.63, 1,630.14 and 509.50

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Solution

The fourth proportional to 1,086.63, 1,630.14 and 509.50 is: 764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.63 : 1,630.14 = 509.50 : x
  2. Step 2: Convert to fraction form
    1,086.63/1,630.14 = 509.50/x
  3. Step 3: Cross multiply
    1,086.63x = 1,630.14 × 509.50
  4. Step 4: Simplify right side
    1,086.63x = 830,556.33
  5. Step 5: Solve for x
    x = 830,556.33/1,086.63
  6. Step 6: Final answer
    x = 764.34

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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.