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Finding the Fourth Proportional to 704.92, 973.74 and 700.06

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Solution

The fourth proportional to 704.92, 973.74 and 700.06 is: 967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.92 : 973.74 = 700.06 : x
  2. Step 2: Convert to fraction form
    704.92/973.74 = 700.06/x
  3. Step 3: Cross multiply
    704.92x = 973.74 × 700.06
  4. Step 4: Simplify right side
    704.92x = 681,676.42
  5. Step 5: Solve for x
    x = 681,676.42/704.92
  6. Step 6: Final answer
    x = 967.03

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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.