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Finding the Fourth Proportional to 1,139, 1,709.74 and 563.10

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Solution

The fourth proportional to 1,139, 1,709.74 and 563.10 is: 845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139 : 1,709.74 = 563.10 : x
  2. Step 2: Convert to fraction form
    1,139/1,709.74 = 563.10/x
  3. Step 3: Cross multiply
    1,139x = 1,709.74 × 563.10
  4. Step 4: Simplify right side
    1,139x = 962,754.59
  5. Step 5: Solve for x
    x = 962,754.59/1,139
  6. Step 6: Final answer
    x = 845.26

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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.