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Finding the Fourth Proportional to 1,277.28, 1,915.45 and 455.33

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Solution

The fourth proportional to 1,277.28, 1,915.45 and 455.33 is: 682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.28 : 1,915.45 = 455.33 : x
  2. Step 2: Convert to fraction form
    1,277.28/1,915.45 = 455.33/x
  3. Step 3: Cross multiply
    1,277.28x = 1,915.45 × 455.33
  4. Step 4: Simplify right side
    1,277.28x = 872,165.50
  5. Step 5: Solve for x
    x = 872,165.50/1,277.28
  6. Step 6: Final answer
    x = 682.83

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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.