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Finding the Fourth Proportional to 704.54, 970.04 and 599.42

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Solution

The fourth proportional to 704.54, 970.04 and 599.42 is: 825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.54 : 970.04 = 599.42 : x
  2. Step 2: Convert to fraction form
    704.54/970.04 = 599.42/x
  3. Step 3: Cross multiply
    704.54x = 970.04 × 599.42
  4. Step 4: Simplify right side
    704.54x = 581,461.38
  5. Step 5: Solve for x
    x = 581,461.38/704.54
  6. Step 6: Final answer
    x = 825.31

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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.