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Finding the Fourth Proportional to 730.97, 1,009.19 and 465.56

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Solution

The fourth proportional to 730.97, 1,009.19 and 465.56 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.97 : 1,009.19 = 465.56 : x
  2. Step 2: Convert to fraction form
    730.97/1,009.19 = 465.56/x
  3. Step 3: Cross multiply
    730.97x = 1,009.19 × 465.56
  4. Step 4: Simplify right side
    730.97x = 469,838.50
  5. Step 5: Solve for x
    x = 469,838.50/730.97
  6. Step 6: Final answer
    x = 642.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.