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Finding the Fourth Proportional to 1,276.64, 1,915.14 and 411.14

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Solution

The fourth proportional to 1,276.64, 1,915.14 and 411.14 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.64 : 1,915.14 = 411.14 : x
  2. Step 2: Convert to fraction form
    1,276.64/1,915.14 = 411.14/x
  3. Step 3: Cross multiply
    1,276.64x = 1,915.14 × 411.14
  4. Step 4: Simplify right side
    1,276.64x = 787,390.66
  5. Step 5: Solve for x
    x = 787,390.66/1,276.64
  6. Step 6: Final answer
    x = 616.77

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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.