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Finding the Fourth Proportional to 710.25, 1,065.44 and 197.25

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Solution

The fourth proportional to 710.25, 1,065.44 and 197.25 is: 295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.25 : 1,065.44 = 197.25 : x
  2. Step 2: Convert to fraction form
    710.25/1,065.44 = 197.25/x
  3. Step 3: Cross multiply
    710.25x = 1,065.44 × 197.25
  4. Step 4: Simplify right side
    710.25x = 210,158.04
  5. Step 5: Solve for x
    x = 210,158.04/710.25
  6. Step 6: Final answer
    x = 295.89

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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.