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Finding the Fourth Proportional to 1,305.69, 1,957.92 and 564.54

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Solution

The fourth proportional to 1,305.69, 1,957.92 and 564.54 is: 846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.69 : 1,957.92 = 564.54 : x
  2. Step 2: Convert to fraction form
    1,305.69/1,957.92 = 564.54/x
  3. Step 3: Cross multiply
    1,305.69x = 1,957.92 × 564.54
  4. Step 4: Simplify right side
    1,305.69x = 1,105,314.70
  5. Step 5: Solve for x
    x = 1,105,314.70/1,305.69
  6. Step 6: Final answer
    x = 846.54

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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.