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Finding the Fourth Proportional to 770.14, 1,062.75 and 475.30

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Solution

The fourth proportional to 770.14, 1,062.75 and 475.30 is: 655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.14 : 1,062.75 = 475.30 : x
  2. Step 2: Convert to fraction form
    770.14/1,062.75 = 475.30/x
  3. Step 3: Cross multiply
    770.14x = 1,062.75 × 475.30
  4. Step 4: Simplify right side
    770.14x = 505,125.08
  5. Step 5: Solve for x
    x = 505,125.08/770.14
  6. Step 6: Final answer
    x = 655.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.