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Finding the Fourth Proportional to 944.63, 1,416.15 and 450.77

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Solution

The fourth proportional to 944.63, 1,416.15 and 450.77 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.63 : 1,416.15 = 450.77 : x
  2. Step 2: Convert to fraction form
    944.63/1,416.15 = 450.77/x
  3. Step 3: Cross multiply
    944.63x = 1,416.15 × 450.77
  4. Step 4: Simplify right side
    944.63x = 638,350.85
  5. Step 5: Solve for x
    x = 638,350.85/944.63
  6. Step 6: Final answer
    x = 675.77

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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.