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Finding the Fourth Proportional to 710.63, 1,065.94 and 197.63

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Solution

The fourth proportional to 710.63, 1,065.94 and 197.63 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.63 : 1,065.94 = 197.63 : x
  2. Step 2: Convert to fraction form
    710.63/1,065.94 = 197.63/x
  3. Step 3: Cross multiply
    710.63x = 1,065.94 × 197.63
  4. Step 4: Simplify right side
    710.63x = 210,661.72
  5. Step 5: Solve for x
    x = 210,661.72/710.63
  6. Step 6: Final answer
    x = 296.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.