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Finding the Fourth Proportional to 1,529.60, 2,293.86 and 555.44

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Solution

The fourth proportional to 1,529.60, 2,293.86 and 555.44 is: 832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.60 : 2,293.86 = 555.44 : x
  2. Step 2: Convert to fraction form
    1,529.60/2,293.86 = 555.44/x
  3. Step 3: Cross multiply
    1,529.60x = 2,293.86 × 555.44
  4. Step 4: Simplify right side
    1,529.60x = 1,274,101.60
  5. Step 5: Solve for x
    x = 1,274,101.60/1,529.60
  6. Step 6: Final answer
    x = 832.96

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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.