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Finding the Fourth Proportional to 1,042.91, 1,564.57 and 465.78

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Solution

The fourth proportional to 1,042.91, 1,564.57 and 465.78 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.91 : 1,564.57 = 465.78 : x
  2. Step 2: Convert to fraction form
    1,042.91/1,564.57 = 465.78/x
  3. Step 3: Cross multiply
    1,042.91x = 1,564.57 × 465.78
  4. Step 4: Simplify right side
    1,042.91x = 728,743.09
  5. Step 5: Solve for x
    x = 728,743.09/1,042.91
  6. Step 6: Final answer
    x = 698.76

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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.