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Finding the Fourth Proportional to 702.84, 1,054.27 and 189.84

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Solution

The fourth proportional to 702.84, 1,054.27 and 189.84 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 1,054.27 = 189.84 : x
  2. Step 2: Convert to fraction form
    702.84/1,054.27 = 189.84/x
  3. Step 3: Cross multiply
    702.84x = 1,054.27 × 189.84
  4. Step 4: Simplify right side
    702.84x = 200,145.74
  5. Step 5: Solve for x
    x = 200,145.74/702.84
  6. Step 6: Final answer
    x = 284.77

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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.