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Finding the Fourth Proportional to 1,472.60, 2,208.33 and 594.80

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Solution

The fourth proportional to 1,472.60, 2,208.33 and 594.80 is: 891.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.60 : 2,208.33 = 594.80 : x
  2. Step 2: Convert to fraction form
    1,472.60/2,208.33 = 594.80/x
  3. Step 3: Cross multiply
    1,472.60x = 2,208.33 × 594.80
  4. Step 4: Simplify right side
    1,472.60x = 1,313,514.68
  5. Step 5: Solve for x
    x = 1,313,514.68/1,472.60
  6. Step 6: Final answer
    x = 891.97

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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.