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Finding the Fourth Proportional to 1,384.58, 2,076.15 and 410.55

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Solution

The fourth proportional to 1,384.58, 2,076.15 and 410.55 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.58 : 2,076.15 = 410.55 : x
  2. Step 2: Convert to fraction form
    1,384.58/2,076.15 = 410.55/x
  3. Step 3: Cross multiply
    1,384.58x = 2,076.15 × 410.55
  4. Step 4: Simplify right side
    1,384.58x = 852,363.38
  5. Step 5: Solve for x
    x = 852,363.38/1,384.58
  6. Step 6: Final answer
    x = 615.61

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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.