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Finding the Fourth Proportional to 1,121.58, 1,683.40 and 574.14

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Solution

The fourth proportional to 1,121.58, 1,683.40 and 574.14 is: 861.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.58 : 1,683.40 = 574.14 : x
  2. Step 2: Convert to fraction form
    1,121.58/1,683.40 = 574.14/x
  3. Step 3: Cross multiply
    1,121.58x = 1,683.40 × 574.14
  4. Step 4: Simplify right side
    1,121.58x = 966,507.28
  5. Step 5: Solve for x
    x = 966,507.28/1,121.58
  6. Step 6: Final answer
    x = 861.74

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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.