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Finding the Fourth Proportional to 1,598, 2,395.64 and 624.79

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Solution

The fourth proportional to 1,598, 2,395.64 and 624.79 is: 936.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598 : 2,395.64 = 624.79 : x
  2. Step 2: Convert to fraction form
    1,598/2,395.64 = 624.79/x
  3. Step 3: Cross multiply
    1,598x = 2,395.64 × 624.79
  4. Step 4: Simplify right side
    1,598x = 1,496,771.92
  5. Step 5: Solve for x
    x = 1,496,771.92/1,598
  6. Step 6: Final answer
    x = 936.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.