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Finding the Fourth Proportional to 1,057.43, 1,586.42 and 407.95

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Solution

The fourth proportional to 1,057.43, 1,586.42 and 407.95 is: 612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.43 : 1,586.42 = 407.95 : x
  2. Step 2: Convert to fraction form
    1,057.43/1,586.42 = 407.95/x
  3. Step 3: Cross multiply
    1,057.43x = 1,586.42 × 407.95
  4. Step 4: Simplify right side
    1,057.43x = 647,180.04
  5. Step 5: Solve for x
    x = 647,180.04/1,057.43
  6. Step 6: Final answer
    x = 612.03

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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.