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Finding the Fourth Proportional to 1,285.86, 1,774.50 and 754.64

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Solution

The fourth proportional to 1,285.86, 1,774.50 and 754.64 is: 1,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.86 : 1,774.50 = 754.64 : x
  2. Step 2: Convert to fraction form
    1,285.86/1,774.50 = 754.64/x
  3. Step 3: Cross multiply
    1,285.86x = 1,774.50 × 754.64
  4. Step 4: Simplify right side
    1,285.86x = 1,339,108.68
  5. Step 5: Solve for x
    x = 1,339,108.68/1,285.86
  6. Step 6: Final answer
    x = 1,041.41

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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.