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Finding the Fourth Proportional to 944.36, 1,417.43 and 579.86

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Solution

The fourth proportional to 944.36, 1,417.43 and 579.86 is: 870.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.36 : 1,417.43 = 579.86 : x
  2. Step 2: Convert to fraction form
    944.36/1,417.43 = 579.86/x
  3. Step 3: Cross multiply
    944.36x = 1,417.43 × 579.86
  4. Step 4: Simplify right side
    944.36x = 821,905.32
  5. Step 5: Solve for x
    x = 821,905.32/944.36
  6. Step 6: Final answer
    x = 870.34

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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.