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Finding the Fourth Proportional to 702.06, 1,052.97 and 189.06

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Solution

The fourth proportional to 702.06, 1,052.97 and 189.06 is: 283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.06 : 1,052.97 = 189.06 : x
  2. Step 2: Convert to fraction form
    702.06/1,052.97 = 189.06/x
  3. Step 3: Cross multiply
    702.06x = 1,052.97 × 189.06
  4. Step 4: Simplify right side
    702.06x = 199,074.51
  5. Step 5: Solve for x
    x = 199,074.51/702.06
  6. Step 6: Final answer
    x = 283.56

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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.