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Finding the Fourth Proportional to 1,596.57, 2,394.72 and 442.32

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Solution

The fourth proportional to 1,596.57, 2,394.72 and 442.32 is: 663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.57 : 2,394.72 = 442.32 : x
  2. Step 2: Convert to fraction form
    1,596.57/2,394.72 = 442.32/x
  3. Step 3: Cross multiply
    1,596.57x = 2,394.72 × 442.32
  4. Step 4: Simplify right side
    1,596.57x = 1,059,232.55
  5. Step 5: Solve for x
    x = 1,059,232.55/1,596.57
  6. Step 6: Final answer
    x = 663.44

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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.