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Finding the Fourth Proportional to 1,057.63, 1,585.32 and 408.19

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Solution

The fourth proportional to 1,057.63, 1,585.32 and 408.19 is: 611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.63 : 1,585.32 = 408.19 : x
  2. Step 2: Convert to fraction form
    1,057.63/1,585.32 = 408.19/x
  3. Step 3: Cross multiply
    1,057.63x = 1,585.32 × 408.19
  4. Step 4: Simplify right side
    1,057.63x = 647,111.77
  5. Step 5: Solve for x
    x = 647,111.77/1,057.63
  6. Step 6: Final answer
    x = 611.85

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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.