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Finding the Fourth Proportional to 1,415.40, 1,953.26 and 825.82

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Solution

The fourth proportional to 1,415.40, 1,953.26 and 825.82 is: 1,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.40 : 1,953.26 = 825.82 : x
  2. Step 2: Convert to fraction form
    1,415.40/1,953.26 = 825.82/x
  3. Step 3: Cross multiply
    1,415.40x = 1,953.26 × 825.82
  4. Step 4: Simplify right side
    1,415.40x = 1,613,045.40
  5. Step 5: Solve for x
    x = 1,613,045.40/1,415.40
  6. Step 6: Final answer
    x = 1,139.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.