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Finding the Fourth Proportional to 1,598.56, 2,396.81 and 624.76

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Solution

The fourth proportional to 1,598.56, 2,396.81 and 624.76 is: 936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.56 : 2,396.81 = 624.76 : x
  2. Step 2: Convert to fraction form
    1,598.56/2,396.81 = 624.76/x
  3. Step 3: Cross multiply
    1,598.56x = 2,396.81 × 624.76
  4. Step 4: Simplify right side
    1,598.56x = 1,497,427.89
  5. Step 5: Solve for x
    x = 1,497,427.89/1,598.56
  6. Step 6: Final answer
    x = 936.74

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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.