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Finding the Fourth Proportional to 894.08, 1,340.40 and 406.88

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Solution

The fourth proportional to 894.08, 1,340.40 and 406.88 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.08 : 1,340.40 = 406.88 : x
  2. Step 2: Convert to fraction form
    894.08/1,340.40 = 406.88/x
  3. Step 3: Cross multiply
    894.08x = 1,340.40 × 406.88
  4. Step 4: Simplify right side
    894.08x = 545,381.95
  5. Step 5: Solve for x
    x = 545,381.95/894.08
  6. Step 6: Final answer
    x = 609.99

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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.