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Finding the Fourth Proportional to 770.70, 1,157.64 and 463.14

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Solution

The fourth proportional to 770.70, 1,157.64 and 463.14 is: 695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.70 : 1,157.64 = 463.14 : x
  2. Step 2: Convert to fraction form
    770.70/1,157.64 = 463.14/x
  3. Step 3: Cross multiply
    770.70x = 1,157.64 × 463.14
  4. Step 4: Simplify right side
    770.70x = 536,149.39
  5. Step 5: Solve for x
    x = 536,149.39/770.70
  6. Step 6: Final answer
    x = 695.67

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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.