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Finding the Fourth Proportional to 1,207.58, 1,811.43 and 514.31

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Solution

The fourth proportional to 1,207.58, 1,811.43 and 514.31 is: 771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.58 : 1,811.43 = 514.31 : x
  2. Step 2: Convert to fraction form
    1,207.58/1,811.43 = 514.31/x
  3. Step 3: Cross multiply
    1,207.58x = 1,811.43 × 514.31
  4. Step 4: Simplify right side
    1,207.58x = 931,636.56
  5. Step 5: Solve for x
    x = 931,636.56/1,207.58
  6. Step 6: Final answer
    x = 771.49

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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.