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Finding the Fourth Proportional to 1,596.90, 2,395.07 and 442.38

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Solution

The fourth proportional to 1,596.90, 2,395.07 and 442.38 is: 663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.90 : 2,395.07 = 442.38 : x
  2. Step 2: Convert to fraction form
    1,596.90/2,395.07 = 442.38/x
  3. Step 3: Cross multiply
    1,596.90x = 2,395.07 × 442.38
  4. Step 4: Simplify right side
    1,596.90x = 1,059,531.07
  5. Step 5: Solve for x
    x = 1,059,531.07/1,596.90
  6. Step 6: Final answer
    x = 663.49

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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.