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Finding the Fourth Proportional to 1,043.28, 1,564.92 and 465.48

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Solution

The fourth proportional to 1,043.28, 1,564.92 and 465.48 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.28 : 1,564.92 = 465.48 : x
  2. Step 2: Convert to fraction form
    1,043.28/1,564.92 = 465.48/x
  3. Step 3: Cross multiply
    1,043.28x = 1,564.92 × 465.48
  4. Step 4: Simplify right side
    1,043.28x = 728,438.96
  5. Step 5: Solve for x
    x = 728,438.96/1,043.28
  6. Step 6: Final answer
    x = 698.22

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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.