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Finding the Fourth Proportional to 1,064.21, 1,594.89 and 414.59

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Solution

The fourth proportional to 1,064.21, 1,594.89 and 414.59 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.21 : 1,594.89 = 414.59 : x
  2. Step 2: Convert to fraction form
    1,064.21/1,594.89 = 414.59/x
  3. Step 3: Cross multiply
    1,064.21x = 1,594.89 × 414.59
  4. Step 4: Simplify right side
    1,064.21x = 661,217.47
  5. Step 5: Solve for x
    x = 661,217.47/1,064.21
  6. Step 6: Final answer
    x = 621.33

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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.