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Finding the Fourth Proportional to 702.56, 1,053.84 and 189.56

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Solution

The fourth proportional to 702.56, 1,053.84 and 189.56 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 1,053.84 = 189.56 : x
  2. Step 2: Convert to fraction form
    702.56/1,053.84 = 189.56/x
  3. Step 3: Cross multiply
    702.56x = 1,053.84 × 189.56
  4. Step 4: Simplify right side
    702.56x = 199,769.26
  5. Step 5: Solve for x
    x = 199,769.26/702.56
  6. Step 6: Final answer
    x = 284.34

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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.