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Finding the Fourth Proportional to 798.38, 1,195.70 and 614.30

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Solution

The fourth proportional to 798.38, 1,195.70 and 614.30 is: 920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.38 : 1,195.70 = 614.30 : x
  2. Step 2: Convert to fraction form
    798.38/1,195.70 = 614.30/x
  3. Step 3: Cross multiply
    798.38x = 1,195.70 × 614.30
  4. Step 4: Simplify right side
    798.38x = 734,518.51
  5. Step 5: Solve for x
    x = 734,518.51/798.38
  6. Step 6: Final answer
    x = 920.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.