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Finding the Fourth Proportional to 907.42, 1,361.19 and 828.22

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Solution

The fourth proportional to 907.42, 1,361.19 and 828.22 is: 1,242.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.42 : 1,361.19 = 828.22 : x
  2. Step 2: Convert to fraction form
    907.42/1,361.19 = 828.22/x
  3. Step 3: Cross multiply
    907.42x = 1,361.19 × 828.22
  4. Step 4: Simplify right side
    907.42x = 1,127,364.78
  5. Step 5: Solve for x
    x = 1,127,364.78/907.42
  6. Step 6: Final answer
    x = 1,242.38

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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.