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Finding the Fourth Proportional to 777.42, 1,071.96 and 528.88

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Solution

The fourth proportional to 777.42, 1,071.96 and 528.88 is: 729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.42 : 1,071.96 = 528.88 : x
  2. Step 2: Convert to fraction form
    777.42/1,071.96 = 528.88/x
  3. Step 3: Cross multiply
    777.42x = 1,071.96 × 528.88
  4. Step 4: Simplify right side
    777.42x = 566,938.20
  5. Step 5: Solve for x
    x = 566,938.20/777.42
  6. Step 6: Final answer
    x = 729.26

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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.