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Finding the Fourth Proportional to 800.08, 1,200.32 and 409.93

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Solution

The fourth proportional to 800.08, 1,200.32 and 409.93 is: 615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.08 : 1,200.32 = 409.93 : x
  2. Step 2: Convert to fraction form
    800.08/1,200.32 = 409.93/x
  3. Step 3: Cross multiply
    800.08x = 1,200.32 × 409.93
  4. Step 4: Simplify right side
    800.08x = 492,047.18
  5. Step 5: Solve for x
    x = 492,047.18/800.08
  6. Step 6: Final answer
    x = 615.00

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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.