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Finding the Fourth Proportional to 894.34, 1,340.99 and 407.13

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Solution

The fourth proportional to 894.34, 1,340.99 and 407.13 is: 610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.34 : 1,340.99 = 407.13 : x
  2. Step 2: Convert to fraction form
    894.34/1,340.99 = 407.13/x
  3. Step 3: Cross multiply
    894.34x = 1,340.99 × 407.13
  4. Step 4: Simplify right side
    894.34x = 545,951.72
  5. Step 5: Solve for x
    x = 545,951.72/894.34
  6. Step 6: Final answer
    x = 610.45

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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.