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Finding the Fourth Proportional to 770.24, 1,062.80 and 475.60

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Solution

The fourth proportional to 770.24, 1,062.80 and 475.60 is: 656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.24 : 1,062.80 = 475.60 : x
  2. Step 2: Convert to fraction form
    770.24/1,062.80 = 475.60/x
  3. Step 3: Cross multiply
    770.24x = 1,062.80 × 475.60
  4. Step 4: Simplify right side
    770.24x = 505,468.87
  5. Step 5: Solve for x
    x = 505,468.87/770.24
  6. Step 6: Final answer
    x = 656.25

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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.