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Finding the Fourth Proportional to 1,277.14, 1,915.30 and 411.25

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Solution

The fourth proportional to 1,277.14, 1,915.30 and 411.25 is: 616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.14 : 1,915.30 = 411.25 : x
  2. Step 2: Convert to fraction form
    1,277.14/1,915.30 = 411.25/x
  3. Step 3: Cross multiply
    1,277.14x = 1,915.30 × 411.25
  4. Step 4: Simplify right side
    1,277.14x = 787,667.13
  5. Step 5: Solve for x
    x = 787,667.13/1,277.14
  6. Step 6: Final answer
    x = 616.74

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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.