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Finding the Fourth Proportional to 1,302.69, 1,954.59 and 864.09

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Solution

The fourth proportional to 1,302.69, 1,954.59 and 864.09 is: 1,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.69 : 1,954.59 = 864.09 : x
  2. Step 2: Convert to fraction form
    1,302.69/1,954.59 = 864.09/x
  3. Step 3: Cross multiply
    1,302.69x = 1,954.59 × 864.09
  4. Step 4: Simplify right side
    1,302.69x = 1,688,945.90
  5. Step 5: Solve for x
    x = 1,688,945.90/1,302.69
  6. Step 6: Final answer
    x = 1,296.51

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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.