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Finding the Fourth Proportional to 777.26, 1,072.24 and 512.16

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Solution

The fourth proportional to 777.26, 1,072.24 and 512.16 is: 706.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.26 : 1,072.24 = 512.16 : x
  2. Step 2: Convert to fraction form
    777.26/1,072.24 = 512.16/x
  3. Step 3: Cross multiply
    777.26x = 1,072.24 × 512.16
  4. Step 4: Simplify right side
    777.26x = 549,153.14
  5. Step 5: Solve for x
    x = 549,153.14/777.26
  6. Step 6: Final answer
    x = 706.52

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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.