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Finding the Fourth Proportional to 893.63, 1,340.15 and 406.42

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Solution

The fourth proportional to 893.63, 1,340.15 and 406.42 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.63 : 1,340.15 = 406.42 : x
  2. Step 2: Convert to fraction form
    893.63/1,340.15 = 406.42/x
  3. Step 3: Cross multiply
    893.63x = 1,340.15 × 406.42
  4. Step 4: Simplify right side
    893.63x = 544,658.38
  5. Step 5: Solve for x
    x = 544,658.38/893.63
  6. Step 6: Final answer
    x = 609.49

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Double scale
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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.