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Finding the Fourth Proportional to 1,435.72, 1,981.32 and 814.72

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Solution

The fourth proportional to 1,435.72, 1,981.32 and 814.72 is: 1,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.72 : 1,981.32 = 814.72 : x
  2. Step 2: Convert to fraction form
    1,435.72/1,981.32 = 814.72/x
  3. Step 3: Cross multiply
    1,435.72x = 1,981.32 × 814.72
  4. Step 4: Simplify right side
    1,435.72x = 1,614,221.03
  5. Step 5: Solve for x
    x = 1,614,221.03/1,435.72
  6. Step 6: Final answer
    x = 1,124.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.