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Finding the Fourth Proportional to 1,230.53, 1,841.15 and 683.10

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Solution

The fourth proportional to 1,230.53, 1,841.15 and 683.10 is: 1,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.53 : 1,841.15 = 683.10 : x
  2. Step 2: Convert to fraction form
    1,230.53/1,841.15 = 683.10/x
  3. Step 3: Cross multiply
    1,230.53x = 1,841.15 × 683.10
  4. Step 4: Simplify right side
    1,230.53x = 1,257,686.15
  5. Step 5: Solve for x
    x = 1,257,686.15/1,230.53
  6. Step 6: Final answer
    x = 1,022.07

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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.