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Finding the Fourth Proportional to 1,219.57, 1,829.63 and 386.68

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Solution

The fourth proportional to 1,219.57, 1,829.63 and 386.68 is: 580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.57 : 1,829.63 = 386.68 : x
  2. Step 2: Convert to fraction form
    1,219.57/1,829.63 = 386.68/x
  3. Step 3: Cross multiply
    1,219.57x = 1,829.63 × 386.68
  4. Step 4: Simplify right side
    1,219.57x = 707,479.40
  5. Step 5: Solve for x
    x = 707,479.40/1,219.57
  6. Step 6: Final answer
    x = 580.11

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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.