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Finding the Fourth Proportional to 1,498.51, 2,247.24 and 574.33

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Solution

The fourth proportional to 1,498.51, 2,247.24 and 574.33 is: 861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.51 : 2,247.24 = 574.33 : x
  2. Step 2: Convert to fraction form
    1,498.51/2,247.24 = 574.33/x
  3. Step 3: Cross multiply
    1,498.51x = 2,247.24 × 574.33
  4. Step 4: Simplify right side
    1,498.51x = 1,290,657.35
  5. Step 5: Solve for x
    x = 1,290,657.35/1,498.51
  6. Step 6: Final answer
    x = 861.29

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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.