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Finding the Fourth Proportional to 710.08, 1,065.08 and 197.08

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Solution

The fourth proportional to 710.08, 1,065.08 and 197.08 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.08 : 1,065.08 = 197.08 : x
  2. Step 2: Convert to fraction form
    710.08/1,065.08 = 197.08/x
  3. Step 3: Cross multiply
    710.08x = 1,065.08 × 197.08
  4. Step 4: Simplify right side
    710.08x = 209,905.97
  5. Step 5: Solve for x
    x = 209,905.97/710.08
  6. Step 6: Final answer
    x = 295.61

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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.