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Finding the Fourth Proportional to 917.56, 1,266.09 and 563.54

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Solution

The fourth proportional to 917.56, 1,266.09 and 563.54 is: 777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.56 : 1,266.09 = 563.54 : x
  2. Step 2: Convert to fraction form
    917.56/1,266.09 = 563.54/x
  3. Step 3: Cross multiply
    917.56x = 1,266.09 × 563.54
  4. Step 4: Simplify right side
    917.56x = 713,492.36
  5. Step 5: Solve for x
    x = 713,492.36/917.56
  6. Step 6: Final answer
    x = 777.60

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Why These Related Problems?

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