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Finding the Fourth Proportional to 1,276.75, 1,915.23 and 352.38

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Solution

The fourth proportional to 1,276.75, 1,915.23 and 352.38 is: 528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.75 : 1,915.23 = 352.38 : x
  2. Step 2: Convert to fraction form
    1,276.75/1,915.23 = 352.38/x
  3. Step 3: Cross multiply
    1,276.75x = 1,915.23 × 352.38
  4. Step 4: Simplify right side
    1,276.75x = 674,888.75
  5. Step 5: Solve for x
    x = 674,888.75/1,276.75
  6. Step 6: Final answer
    x = 528.60

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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.