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Finding the Fourth Proportional to 1,256.06, 1,884.06 and 434.30

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Solution

The fourth proportional to 1,256.06, 1,884.06 and 434.30 is: 651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.06 : 1,884.06 = 434.30 : x
  2. Step 2: Convert to fraction form
    1,256.06/1,884.06 = 434.30/x
  3. Step 3: Cross multiply
    1,256.06x = 1,884.06 × 434.30
  4. Step 4: Simplify right side
    1,256.06x = 818,247.26
  5. Step 5: Solve for x
    x = 818,247.26/1,256.06
  6. Step 6: Final answer
    x = 651.44

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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.