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Finding the Fourth Proportional to 1,359.14, 2,039.02 and 434.77

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Solution

The fourth proportional to 1,359.14, 2,039.02 and 434.77 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.14 : 2,039.02 = 434.77 : x
  2. Step 2: Convert to fraction form
    1,359.14/2,039.02 = 434.77/x
  3. Step 3: Cross multiply
    1,359.14x = 2,039.02 × 434.77
  4. Step 4: Simplify right side
    1,359.14x = 886,504.73
  5. Step 5: Solve for x
    x = 886,504.73/1,359.14
  6. Step 6: Final answer
    x = 652.25

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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.