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Finding the Fourth Proportional to 702.85, 1,054.09 and 209.13

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Solution

The fourth proportional to 702.85, 1,054.09 and 209.13 is: 313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.85 : 1,054.09 = 209.13 : x
  2. Step 2: Convert to fraction form
    702.85/1,054.09 = 209.13/x
  3. Step 3: Cross multiply
    702.85x = 1,054.09 × 209.13
  4. Step 4: Simplify right side
    702.85x = 220,438.14
  5. Step 5: Solve for x
    x = 220,438.14/702.85
  6. Step 6: Final answer
    x = 313.63

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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.