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Finding the Fourth Proportional to 1,277.01, 1,915.78 and 411.25

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Solution

The fourth proportional to 1,277.01, 1,915.78 and 411.25 is: 616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.01 : 1,915.78 = 411.25 : x
  2. Step 2: Convert to fraction form
    1,277.01/1,915.78 = 411.25/x
  3. Step 3: Cross multiply
    1,277.01x = 1,915.78 × 411.25
  4. Step 4: Simplify right side
    1,277.01x = 787,864.53
  5. Step 5: Solve for x
    x = 787,864.53/1,277.01
  6. Step 6: Final answer
    x = 616.96

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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.