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Finding the Fourth Proportional to 1,253.39, 1,880.49 and 431.65

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Solution

The fourth proportional to 1,253.39, 1,880.49 and 431.65 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.39 : 1,880.49 = 431.65 : x
  2. Step 2: Convert to fraction form
    1,253.39/1,880.49 = 431.65/x
  3. Step 3: Cross multiply
    1,253.39x = 1,880.49 × 431.65
  4. Step 4: Simplify right side
    1,253.39x = 811,710.43
  5. Step 5: Solve for x
    x = 811,710.43/1,253.39
  6. Step 6: Final answer
    x = 647.61

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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.