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Finding the Fourth Proportional to 1,384.76, 2,076.50 and 410.67

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Solution

The fourth proportional to 1,384.76, 2,076.50 and 410.67 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.76 : 2,076.50 = 410.67 : x
  2. Step 2: Convert to fraction form
    1,384.76/2,076.50 = 410.67/x
  3. Step 3: Cross multiply
    1,384.76x = 2,076.50 × 410.67
  4. Step 4: Simplify right side
    1,384.76x = 852,757.28
  5. Step 5: Solve for x
    x = 852,757.28/1,384.76
  6. Step 6: Final answer
    x = 615.81

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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.