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Finding the Fourth Proportional to 894.74, 1,340.90 and 400.82

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Solution

The fourth proportional to 894.74, 1,340.90 and 400.82 is: 600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.74 : 1,340.90 = 400.82 : x
  2. Step 2: Convert to fraction form
    894.74/1,340.90 = 400.82/x
  3. Step 3: Cross multiply
    894.74x = 1,340.90 × 400.82
  4. Step 4: Simplify right side
    894.74x = 537,459.54
  5. Step 5: Solve for x
    x = 537,459.54/894.74
  6. Step 6: Final answer
    x = 600.69

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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.