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Finding the Fourth Proportional to 1,279.70, 1,920.48 and 458

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Solution

The fourth proportional to 1,279.70, 1,920.48 and 458 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.70 : 1,920.48 = 458 : x
  2. Step 2: Convert to fraction form
    1,279.70/1,920.48 = 458/x
  3. Step 3: Cross multiply
    1,279.70x = 1,920.48 × 458
  4. Step 4: Simplify right side
    1,279.70x = 879,579.84
  5. Step 5: Solve for x
    x = 879,579.84/1,279.70
  6. Step 6: Final answer
    x = 687.33

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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.