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Finding the Fourth Proportional to 1,062.83, 1,594.37 and 395.63

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Solution

The fourth proportional to 1,062.83, 1,594.37 and 395.63 is: 593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.83 : 1,594.37 = 395.63 : x
  2. Step 2: Convert to fraction form
    1,062.83/1,594.37 = 395.63/x
  3. Step 3: Cross multiply
    1,062.83x = 1,594.37 × 395.63
  4. Step 4: Simplify right side
    1,062.83x = 630,770.65
  5. Step 5: Solve for x
    x = 630,770.65/1,062.83
  6. Step 6: Final answer
    x = 593.48

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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.