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Finding the Fourth Proportional to 1,281.36, 1,921.72 and 501.38

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Solution

The fourth proportional to 1,281.36, 1,921.72 and 501.38 is: 751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.36 : 1,921.72 = 501.38 : x
  2. Step 2: Convert to fraction form
    1,281.36/1,921.72 = 501.38/x
  3. Step 3: Cross multiply
    1,281.36x = 1,921.72 × 501.38
  4. Step 4: Simplify right side
    1,281.36x = 963,511.97
  5. Step 5: Solve for x
    x = 963,511.97/1,281.36
  6. Step 6: Final answer
    x = 751.94

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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.