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Finding the Fourth Proportional to 1,253.26, 1,880.21 and 431.58

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Solution

The fourth proportional to 1,253.26, 1,880.21 and 431.58 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.26 : 1,880.21 = 431.58 : x
  2. Step 2: Convert to fraction form
    1,253.26/1,880.21 = 431.58/x
  3. Step 3: Cross multiply
    1,253.26x = 1,880.21 × 431.58
  4. Step 4: Simplify right side
    1,253.26x = 811,461.03
  5. Step 5: Solve for x
    x = 811,461.03/1,253.26
  6. Step 6: Final answer
    x = 647.48

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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.