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Finding the Fourth Proportional to 597.79, 825.62 and 568.63

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Solution

The fourth proportional to 597.79, 825.62 and 568.63 is: 785.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 825.62 = 568.63 : x
  2. Step 2: Convert to fraction form
    597.79/825.62 = 568.63/x
  3. Step 3: Cross multiply
    597.79x = 825.62 × 568.63
  4. Step 4: Simplify right side
    597.79x = 469,467.39
  5. Step 5: Solve for x
    x = 469,467.39/597.79
  6. Step 6: Final answer
    x = 785.34

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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.