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Finding the Fourth Proportional to 944.86, 1,415.45 and 619.24

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Solution

The fourth proportional to 944.86, 1,415.45 and 619.24 is: 927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.86 : 1,415.45 = 619.24 : x
  2. Step 2: Convert to fraction form
    944.86/1,415.45 = 619.24/x
  3. Step 3: Cross multiply
    944.86x = 1,415.45 × 619.24
  4. Step 4: Simplify right side
    944.86x = 876,503.26
  5. Step 5: Solve for x
    x = 876,503.26/944.86
  6. Step 6: Final answer
    x = 927.65

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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.