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Finding the Fourth Proportional to 1,114.83, 1,671.74 and 594.73

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Solution

The fourth proportional to 1,114.83, 1,671.74 and 594.73 is: 891.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.83 : 1,671.74 = 594.73 : x
  2. Step 2: Convert to fraction form
    1,114.83/1,671.74 = 594.73/x
  3. Step 3: Cross multiply
    1,114.83x = 1,671.74 × 594.73
  4. Step 4: Simplify right side
    1,114.83x = 994,233.93
  5. Step 5: Solve for x
    x = 994,233.93/1,114.83
  6. Step 6: Final answer
    x = 891.83

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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.