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Finding the Fourth Proportional to 1,255.93, 1,884.31 and 434.21

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Solution

The fourth proportional to 1,255.93, 1,884.31 and 434.21 is: 651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.93 : 1,884.31 = 434.21 : x
  2. Step 2: Convert to fraction form
    1,255.93/1,884.31 = 434.21/x
  3. Step 3: Cross multiply
    1,255.93x = 1,884.31 × 434.21
  4. Step 4: Simplify right side
    1,255.93x = 818,175.74
  5. Step 5: Solve for x
    x = 818,175.74/1,255.93
  6. Step 6: Final answer
    x = 651.45

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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.