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Finding the Fourth Proportional to 1,117.59, 1,676.38 and 629.63

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Solution

The fourth proportional to 1,117.59, 1,676.38 and 629.63 is: 944.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.59 : 1,676.38 = 629.63 : x
  2. Step 2: Convert to fraction form
    1,117.59/1,676.38 = 629.63/x
  3. Step 3: Cross multiply
    1,117.59x = 1,676.38 × 629.63
  4. Step 4: Simplify right side
    1,117.59x = 1,055,499.14
  5. Step 5: Solve for x
    x = 1,055,499.14/1,117.59
  6. Step 6: Final answer
    x = 944.44

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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.