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Finding the Fourth Proportional to 1,460.98, 2,192.34 and 583.33

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Solution

The fourth proportional to 1,460.98, 2,192.34 and 583.33 is: 875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.98 : 2,192.34 = 583.33 : x
  2. Step 2: Convert to fraction form
    1,460.98/2,192.34 = 583.33/x
  3. Step 3: Cross multiply
    1,460.98x = 2,192.34 × 583.33
  4. Step 4: Simplify right side
    1,460.98x = 1,278,857.69
  5. Step 5: Solve for x
    x = 1,278,857.69/1,460.98
  6. Step 6: Final answer
    x = 875.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.