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Finding the Fourth Proportional to 1,355.12, 2,030.85 and 614.27

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Solution

The fourth proportional to 1,355.12, 2,030.85 and 614.27 is: 920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.12 : 2,030.85 = 614.27 : x
  2. Step 2: Convert to fraction form
    1,355.12/2,030.85 = 614.27/x
  3. Step 3: Cross multiply
    1,355.12x = 2,030.85 × 614.27
  4. Step 4: Simplify right side
    1,355.12x = 1,247,490.23
  5. Step 5: Solve for x
    x = 1,247,490.23/1,355.12
  6. Step 6: Final answer
    x = 920.58

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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.