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Finding the Fourth Proportional to 777.64, 1,072.54 and 512.52

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Solution

The fourth proportional to 777.64, 1,072.54 and 512.52 is: 706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.64 : 1,072.54 = 512.52 : x
  2. Step 2: Convert to fraction form
    777.64/1,072.54 = 512.52/x
  3. Step 3: Cross multiply
    777.64x = 1,072.54 × 512.52
  4. Step 4: Simplify right side
    777.64x = 549,698.20
  5. Step 5: Solve for x
    x = 549,698.20/777.64
  6. Step 6: Final answer
    x = 706.88

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Why These Related Problems?

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