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Finding the Fourth Proportional to 1,219.34, 1,830.02 and 780.39

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Solution

The fourth proportional to 1,219.34, 1,830.02 and 780.39 is: 1,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.34 : 1,830.02 = 780.39 : x
  2. Step 2: Convert to fraction form
    1,219.34/1,830.02 = 780.39/x
  3. Step 3: Cross multiply
    1,219.34x = 1,830.02 × 780.39
  4. Step 4: Simplify right side
    1,219.34x = 1,428,125.41
  5. Step 5: Solve for x
    x = 1,428,125.41/1,219.34
  6. Step 6: Final answer
    x = 1,171.23

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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.