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Finding the Fourth Proportional to 1,056.21, 1,585.26 and 563.03

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Solution

The fourth proportional to 1,056.21, 1,585.26 and 563.03 is: 845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.21 : 1,585.26 = 563.03 : x
  2. Step 2: Convert to fraction form
    1,056.21/1,585.26 = 563.03/x
  3. Step 3: Cross multiply
    1,056.21x = 1,585.26 × 563.03
  4. Step 4: Simplify right side
    1,056.21x = 892,545.27
  5. Step 5: Solve for x
    x = 892,545.27/1,056.21
  6. Step 6: Final answer
    x = 845.05

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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.