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Finding the Fourth Proportional to 1,277.27, 1,915.80 and 455.47

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Solution

The fourth proportional to 1,277.27, 1,915.80 and 455.47 is: 683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.27 : 1,915.80 = 455.47 : x
  2. Step 2: Convert to fraction form
    1,277.27/1,915.80 = 455.47/x
  3. Step 3: Cross multiply
    1,277.27x = 1,915.80 × 455.47
  4. Step 4: Simplify right side
    1,277.27x = 872,596.27
  5. Step 5: Solve for x
    x = 872,596.27/1,277.27
  6. Step 6: Final answer
    x = 683.17

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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.