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Finding the Fourth Proportional to 1,458.33, 2,186.77 and 484.10

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Solution

The fourth proportional to 1,458.33, 2,186.77 and 484.10 is: 725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.33 : 2,186.77 = 484.10 : x
  2. Step 2: Convert to fraction form
    1,458.33/2,186.77 = 484.10/x
  3. Step 3: Cross multiply
    1,458.33x = 2,186.77 × 484.10
  4. Step 4: Simplify right side
    1,458.33x = 1,058,615.36
  5. Step 5: Solve for x
    x = 1,058,615.36/1,458.33
  6. Step 6: Final answer
    x = 725.91

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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.