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Finding the Fourth Proportional to 730.68, 1,097.86 and 470.82

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Solution

The fourth proportional to 730.68, 1,097.86 and 470.82 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.68 : 1,097.86 = 470.82 : x
  2. Step 2: Convert to fraction form
    730.68/1,097.86 = 470.82/x
  3. Step 3: Cross multiply
    730.68x = 1,097.86 × 470.82
  4. Step 4: Simplify right side
    730.68x = 516,894.45
  5. Step 5: Solve for x
    x = 516,894.45/730.68
  6. Step 6: Final answer
    x = 707.42

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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.