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Finding the Fourth Proportional to 830.40, 1,243.14 and 614.94

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Solution

The fourth proportional to 830.40, 1,243.14 and 614.94 is: 920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.40 : 1,243.14 = 614.94 : x
  2. Step 2: Convert to fraction form
    830.40/1,243.14 = 614.94/x
  3. Step 3: Cross multiply
    830.40x = 1,243.14 × 614.94
  4. Step 4: Simplify right side
    830.40x = 764,456.51
  5. Step 5: Solve for x
    x = 764,456.51/830.40
  6. Step 6: Final answer
    x = 920.59

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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.