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Finding the Fourth Proportional to 1,277.46, 1,915.88 and 546.95

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Solution

The fourth proportional to 1,277.46, 1,915.88 and 546.95 is: 820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.46 : 1,915.88 = 546.95 : x
  2. Step 2: Convert to fraction form
    1,277.46/1,915.88 = 546.95/x
  3. Step 3: Cross multiply
    1,277.46x = 1,915.88 × 546.95
  4. Step 4: Simplify right side
    1,277.46x = 1,047,892.62
  5. Step 5: Solve for x
    x = 1,047,892.62/1,277.46
  6. Step 6: Final answer
    x = 820.29

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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.