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Finding the Fourth Proportional to 1,460.78, 2,189.75 and 583.02

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Solution

The fourth proportional to 1,460.78, 2,189.75 and 583.02 is: 873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.78 : 2,189.75 = 583.02 : x
  2. Step 2: Convert to fraction form
    1,460.78/2,189.75 = 583.02/x
  3. Step 3: Cross multiply
    1,460.78x = 2,189.75 × 583.02
  4. Step 4: Simplify right side
    1,460.78x = 1,276,670.60
  5. Step 5: Solve for x
    x = 1,276,670.60/1,460.78
  6. Step 6: Final answer
    x = 873.97

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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.