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Finding the Fourth Proportional to 1,114.47, 1,674.73 and 594.83

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Solution

The fourth proportional to 1,114.47, 1,674.73 and 594.83 is: 893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.47 : 1,674.73 = 594.83 : x
  2. Step 2: Convert to fraction form
    1,114.47/1,674.73 = 594.83/x
  3. Step 3: Cross multiply
    1,114.47x = 1,674.73 × 594.83
  4. Step 4: Simplify right side
    1,114.47x = 996,179.65
  5. Step 5: Solve for x
    x = 996,179.65/1,114.47
  6. Step 6: Final answer
    x = 893.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.