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Finding the Fourth Proportional to 1,057.90, 1,585.89 and 408.46

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Solution

The fourth proportional to 1,057.90, 1,585.89 and 408.46 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.90 : 1,585.89 = 408.46 : x
  2. Step 2: Convert to fraction form
    1,057.90/1,585.89 = 408.46/x
  3. Step 3: Cross multiply
    1,057.90x = 1,585.89 × 408.46
  4. Step 4: Simplify right side
    1,057.90x = 647,772.63
  5. Step 5: Solve for x
    x = 647,772.63/1,057.90
  6. Step 6: Final answer
    x = 612.32

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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.