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Finding the Fourth Proportional to 702.93, 1,054.33 and 209.34

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Solution

The fourth proportional to 702.93, 1,054.33 and 209.34 is: 313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.93 : 1,054.33 = 209.34 : x
  2. Step 2: Convert to fraction form
    702.93/1,054.33 = 209.34/x
  3. Step 3: Cross multiply
    702.93x = 1,054.33 × 209.34
  4. Step 4: Simplify right side
    702.93x = 220,713.44
  5. Step 5: Solve for x
    x = 220,713.44/702.93
  6. Step 6: Final answer
    x = 313.99

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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.