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Finding the Fourth Proportional to 1,141.26, 1,712.10 and 448.26

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Solution

The fourth proportional to 1,141.26, 1,712.10 and 448.26 is: 672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.26 : 1,712.10 = 448.26 : x
  2. Step 2: Convert to fraction form
    1,141.26/1,712.10 = 448.26/x
  3. Step 3: Cross multiply
    1,141.26x = 1,712.10 × 448.26
  4. Step 4: Simplify right side
    1,141.26x = 767,465.95
  5. Step 5: Solve for x
    x = 767,465.95/1,141.26
  6. Step 6: Final answer
    x = 672.47

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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.