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Finding the Fourth Proportional to 758.82, 1,137.09 and 514.50

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Solution

The fourth proportional to 758.82, 1,137.09 and 514.50 is: 770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.82 : 1,137.09 = 514.50 : x
  2. Step 2: Convert to fraction form
    758.82/1,137.09 = 514.50/x
  3. Step 3: Cross multiply
    758.82x = 1,137.09 × 514.50
  4. Step 4: Simplify right side
    758.82x = 585,032.81
  5. Step 5: Solve for x
    x = 585,032.81/758.82
  6. Step 6: Final answer
    x = 770.98

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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.