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Finding the Fourth Proportional to 702.13, 1,053.19 and 189.13

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Solution

The fourth proportional to 702.13, 1,053.19 and 189.13 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.13 : 1,053.19 = 189.13 : x
  2. Step 2: Convert to fraction form
    702.13/1,053.19 = 189.13/x
  3. Step 3: Cross multiply
    702.13x = 1,053.19 × 189.13
  4. Step 4: Simplify right side
    702.13x = 199,184.56
  5. Step 5: Solve for x
    x = 199,184.56/702.13
  6. Step 6: Final answer
    x = 283.69

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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.