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Finding the Fourth Proportional to 770.21, 1,151.85 and 684.08

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Solution

The fourth proportional to 770.21, 1,151.85 and 684.08 is: 1,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.21 : 1,151.85 = 684.08 : x
  2. Step 2: Convert to fraction form
    770.21/1,151.85 = 684.08/x
  3. Step 3: Cross multiply
    770.21x = 1,151.85 × 684.08
  4. Step 4: Simplify right side
    770.21x = 787,958.67
  5. Step 5: Solve for x
    x = 787,958.67/770.21
  6. Step 6: Final answer
    x = 1,023.05

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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.