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Finding the Fourth Proportional to 1,598.36, 2,396.40 and 624.56

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Solution

The fourth proportional to 1,598.36, 2,396.40 and 624.56 is: 936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.36 : 2,396.40 = 624.56 : x
  2. Step 2: Convert to fraction form
    1,598.36/2,396.40 = 624.56/x
  3. Step 3: Cross multiply
    1,598.36x = 2,396.40 × 624.56
  4. Step 4: Simplify right side
    1,598.36x = 1,496,695.58
  5. Step 5: Solve for x
    x = 1,496,695.58/1,598.36
  6. Step 6: Final answer
    x = 936.39

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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.