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Finding the Fourth Proportional to 1,056.86, 1,584.52 and 536.62

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Solution

The fourth proportional to 1,056.86, 1,584.52 and 536.62 is: 804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.86 : 1,584.52 = 536.62 : x
  2. Step 2: Convert to fraction form
    1,056.86/1,584.52 = 536.62/x
  3. Step 3: Cross multiply
    1,056.86x = 1,584.52 × 536.62
  4. Step 4: Simplify right side
    1,056.86x = 850,285.12
  5. Step 5: Solve for x
    x = 850,285.12/1,056.86
  6. Step 6: Final answer
    x = 804.54

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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.