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Finding the Fourth Proportional to 1,256.55, 1,884.07 and 563.09

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Solution

The fourth proportional to 1,256.55, 1,884.07 and 563.09 is: 844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.55 : 1,884.07 = 563.09 : x
  2. Step 2: Convert to fraction form
    1,256.55/1,884.07 = 563.09/x
  3. Step 3: Cross multiply
    1,256.55x = 1,884.07 × 563.09
  4. Step 4: Simplify right side
    1,256.55x = 1,060,898.16
  5. Step 5: Solve for x
    x = 1,060,898.16/1,256.55
  6. Step 6: Final answer
    x = 844.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.