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Finding the Fourth Proportional to 1,256.45, 1,884.63 and 434.80

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Solution

The fourth proportional to 1,256.45, 1,884.63 and 434.80 is: 652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.45 : 1,884.63 = 434.80 : x
  2. Step 2: Convert to fraction form
    1,256.45/1,884.63 = 434.80/x
  3. Step 3: Cross multiply
    1,256.45x = 1,884.63 × 434.80
  4. Step 4: Simplify right side
    1,256.45x = 819,441.11
  5. Step 5: Solve for x
    x = 819,441.11/1,256.45
  6. Step 6: Final answer
    x = 652.19

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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.