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Finding the Fourth Proportional to 1,051.82, 1,451.46 and 579.72

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Solution

The fourth proportional to 1,051.82, 1,451.46 and 579.72 is: 799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.82 : 1,451.46 = 579.72 : x
  2. Step 2: Convert to fraction form
    1,051.82/1,451.46 = 579.72/x
  3. Step 3: Cross multiply
    1,051.82x = 1,451.46 × 579.72
  4. Step 4: Simplify right side
    1,051.82x = 841,440.39
  5. Step 5: Solve for x
    x = 841,440.39/1,051.82
  6. Step 6: Final answer
    x = 799.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.