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Finding the Fourth Proportional to 907.42, 1,250.72 and 829

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Solution

The fourth proportional to 907.42, 1,250.72 and 829 is: 1,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.42 : 1,250.72 = 829 : x
  2. Step 2: Convert to fraction form
    907.42/1,250.72 = 829/x
  3. Step 3: Cross multiply
    907.42x = 1,250.72 × 829
  4. Step 4: Simplify right side
    907.42x = 1,036,846.88
  5. Step 5: Solve for x
    x = 1,036,846.88/907.42
  6. Step 6: Final answer
    x = 1,142.63

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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.