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Finding the Fourth Proportional to 1,664.83, 2,497.59 and 624.81

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Solution

The fourth proportional to 1,664.83, 2,497.59 and 624.81 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.83 : 2,497.59 = 624.81 : x
  2. Step 2: Convert to fraction form
    1,664.83/2,497.59 = 624.81/x
  3. Step 3: Cross multiply
    1,664.83x = 2,497.59 × 624.81
  4. Step 4: Simplify right side
    1,664.83x = 1,560,519.21
  5. Step 5: Solve for x
    x = 1,560,519.21/1,664.83
  6. Step 6: Final answer
    x = 937.35

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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.