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Finding the Fourth Proportional to 702.82, 1,054.43 and 291.75

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Solution

The fourth proportional to 702.82, 1,054.43 and 291.75 is: 437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.82 : 1,054.43 = 291.75 : x
  2. Step 2: Convert to fraction form
    702.82/1,054.43 = 291.75/x
  3. Step 3: Cross multiply
    702.82x = 1,054.43 × 291.75
  4. Step 4: Simplify right side
    702.82x = 307,629.95
  5. Step 5: Solve for x
    x = 307,629.95/702.82
  6. Step 6: Final answer
    x = 437.71

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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.