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Finding the Fourth Proportional to 702.41, 1,053.45 and 208.73

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Solution

The fourth proportional to 702.41, 1,053.45 and 208.73 is: 313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.41 : 1,053.45 = 208.73 : x
  2. Step 2: Convert to fraction form
    702.41/1,053.45 = 208.73/x
  3. Step 3: Cross multiply
    702.41x = 1,053.45 × 208.73
  4. Step 4: Simplify right side
    702.41x = 219,881.35
  5. Step 5: Solve for x
    x = 219,881.35/702.41
  6. Step 6: Final answer
    x = 313.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.