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Finding the Fourth Proportional to 1,363.63, 2,045.57 and 438.97

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Solution

The fourth proportional to 1,363.63, 2,045.57 and 438.97 is: 658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.63 : 2,045.57 = 438.97 : x
  2. Step 2: Convert to fraction form
    1,363.63/2,045.57 = 438.97/x
  3. Step 3: Cross multiply
    1,363.63x = 2,045.57 × 438.97
  4. Step 4: Simplify right side
    1,363.63x = 897,936.55
  5. Step 5: Solve for x
    x = 897,936.55/1,363.63
  6. Step 6: Final answer
    x = 658.49

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1.5x scale

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.