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Finding the Fourth Proportional to 696.88, 962.16 and 539.24

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Solution

The fourth proportional to 696.88, 962.16 and 539.24 is: 744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.88 : 962.16 = 539.24 : x
  2. Step 2: Convert to fraction form
    696.88/962.16 = 539.24/x
  3. Step 3: Cross multiply
    696.88x = 962.16 × 539.24
  4. Step 4: Simplify right side
    696.88x = 518,835.16
  5. Step 5: Solve for x
    x = 518,835.16/696.88
  6. Step 6: Final answer
    x = 744.51

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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.