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Finding the Fourth Proportional to 1,477.59, 2,039.10 and 814.56

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Solution

The fourth proportional to 1,477.59, 2,039.10 and 814.56 is: 1,124.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.59 : 2,039.10 = 814.56 : x
  2. Step 2: Convert to fraction form
    1,477.59/2,039.10 = 814.56/x
  3. Step 3: Cross multiply
    1,477.59x = 2,039.10 × 814.56
  4. Step 4: Simplify right side
    1,477.59x = 1,660,969.30
  5. Step 5: Solve for x
    x = 1,660,969.30/1,477.59
  6. Step 6: Final answer
    x = 1,124.11

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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.