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Finding the Fourth Proportional to 948.87, 1,423.49 and 401.05

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Solution

The fourth proportional to 948.87, 1,423.49 and 401.05 is: 601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.87 : 1,423.49 = 401.05 : x
  2. Step 2: Convert to fraction form
    948.87/1,423.49 = 401.05/x
  3. Step 3: Cross multiply
    948.87x = 1,423.49 × 401.05
  4. Step 4: Simplify right side
    948.87x = 570,893.45
  5. Step 5: Solve for x
    x = 570,893.45/948.87
  6. Step 6: Final answer
    x = 601.66

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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.