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Finding the Fourth Proportional to 1,414.80, 1,948.32 and 1,153.44

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Solution

The fourth proportional to 1,414.80, 1,948.32 and 1,153.44 is: 1,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.80 : 1,948.32 = 1,153.44 : x
  2. Step 2: Convert to fraction form
    1,414.80/1,948.32 = 1,153.44/x
  3. Step 3: Cross multiply
    1,414.80x = 1,948.32 × 1,153.44
  4. Step 4: Simplify right side
    1,414.80x = 2,247,270.22
  5. Step 5: Solve for x
    x = 2,247,270.22/1,414.80
  6. Step 6: Final answer
    x = 1,588.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.