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Finding the Fourth Proportional to 1,364.84, 2,045.60 and 623.43

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Solution

The fourth proportional to 1,364.84, 2,045.60 and 623.43 is: 934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.84 : 2,045.60 = 623.43 : x
  2. Step 2: Convert to fraction form
    1,364.84/2,045.60 = 623.43/x
  3. Step 3: Cross multiply
    1,364.84x = 2,045.60 × 623.43
  4. Step 4: Simplify right side
    1,364.84x = 1,275,288.41
  5. Step 5: Solve for x
    x = 1,275,288.41/1,364.84
  6. Step 6: Final answer
    x = 934.39

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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.