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Finding the Fourth Proportional to 730.08, 1,009.08 and 615.60

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Solution

The fourth proportional to 730.08, 1,009.08 and 615.60 is: 850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.08 : 1,009.08 = 615.60 : x
  2. Step 2: Convert to fraction form
    730.08/1,009.08 = 615.60/x
  3. Step 3: Cross multiply
    730.08x = 1,009.08 × 615.60
  4. Step 4: Simplify right side
    730.08x = 621,189.65
  5. Step 5: Solve for x
    x = 621,189.65/730.08
  6. Step 6: Final answer
    x = 850.85

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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.