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Finding the Fourth Proportional to 1,597.13, 2,395.82 and 442.88

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Solution

The fourth proportional to 1,597.13, 2,395.82 and 442.88 is: 664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.13 : 2,395.82 = 442.88 : x
  2. Step 2: Convert to fraction form
    1,597.13/2,395.82 = 442.88/x
  3. Step 3: Cross multiply
    1,597.13x = 2,395.82 × 442.88
  4. Step 4: Simplify right side
    1,597.13x = 1,061,060.76
  5. Step 5: Solve for x
    x = 1,061,060.76/1,597.13
  6. Step 6: Final answer
    x = 664.35

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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.