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Finding the Fourth Proportional to 1,036.31, 1,554.40 and 419.85

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Solution

The fourth proportional to 1,036.31, 1,554.40 and 419.85 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.31 : 1,554.40 = 419.85 : x
  2. Step 2: Convert to fraction form
    1,036.31/1,554.40 = 419.85/x
  3. Step 3: Cross multiply
    1,036.31x = 1,554.40 × 419.85
  4. Step 4: Simplify right side
    1,036.31x = 652,609.40
  5. Step 5: Solve for x
    x = 652,609.40/1,036.31
  6. Step 6: Final answer
    x = 629.75

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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.