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Finding the Fourth Proportional to 1,498.94, 2,248.22 and 403.22

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Solution

The fourth proportional to 1,498.94, 2,248.22 and 403.22 is: 604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.94 : 2,248.22 = 403.22 : x
  2. Step 2: Convert to fraction form
    1,498.94/2,248.22 = 403.22/x
  3. Step 3: Cross multiply
    1,498.94x = 2,248.22 × 403.22
  4. Step 4: Simplify right side
    1,498.94x = 906,514.01
  5. Step 5: Solve for x
    x = 906,514.01/1,498.94
  6. Step 6: Final answer
    x = 604.77

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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.