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Finding the Fourth Proportional to 770.89, 1,157.15 and 753.48

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Solution

The fourth proportional to 770.89, 1,157.15 and 753.48 is: 1,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.89 : 1,157.15 = 753.48 : x
  2. Step 2: Convert to fraction form
    770.89/1,157.15 = 753.48/x
  3. Step 3: Cross multiply
    770.89x = 1,157.15 × 753.48
  4. Step 4: Simplify right side
    770.89x = 871,889.38
  5. Step 5: Solve for x
    x = 871,889.38/770.89
  6. Step 6: Final answer
    x = 1,131.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.