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Finding the Fourth Proportional to 1,036.27, 1,554.96 and 451.25

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Solution

The fourth proportional to 1,036.27, 1,554.96 and 451.25 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.27 : 1,554.96 = 451.25 : x
  2. Step 2: Convert to fraction form
    1,036.27/1,554.96 = 451.25/x
  3. Step 3: Cross multiply
    1,036.27x = 1,554.96 × 451.25
  4. Step 4: Simplify right side
    1,036.27x = 701,675.70
  5. Step 5: Solve for x
    x = 701,675.70/1,036.27
  6. Step 6: Final answer
    x = 677.12

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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.