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Finding the Fourth Proportional to 1,597, 2,395.50 and 442.75

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Solution

The fourth proportional to 1,597, 2,395.50 and 442.75 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597 : 2,395.50 = 442.75 : x
  2. Step 2: Convert to fraction form
    1,597/2,395.50 = 442.75/x
  3. Step 3: Cross multiply
    1,597x = 2,395.50 × 442.75
  4. Step 4: Simplify right side
    1,597x = 1,060,607.63
  5. Step 5: Solve for x
    x = 1,060,607.63/1,597
  6. Step 6: Final answer
    x = 664.13

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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.