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Finding the Fourth Proportional to 513.60, 703.56 and 512.16

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Solution

The fourth proportional to 513.60, 703.56 and 512.16 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 703.56 = 512.16 : x
  2. Step 2: Convert to fraction form
    513.60/703.56 = 512.16/x
  3. Step 3: Cross multiply
    513.60x = 703.56 × 512.16
  4. Step 4: Simplify right side
    513.60x = 360,335.29
  5. Step 5: Solve for x
    x = 360,335.29/513.60
  6. Step 6: Final answer
    x = 701.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.