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Finding the Fourth Proportional to 1,042.02, 1,435.95 and 941.34

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Solution

The fourth proportional to 1,042.02, 1,435.95 and 941.34 is: 1,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.02 : 1,435.95 = 941.34 : x
  2. Step 2: Convert to fraction form
    1,042.02/1,435.95 = 941.34/x
  3. Step 3: Cross multiply
    1,042.02x = 1,435.95 × 941.34
  4. Step 4: Simplify right side
    1,042.02x = 1,351,717.17
  5. Step 5: Solve for x
    x = 1,351,717.17/1,042.02
  6. Step 6: Final answer
    x = 1,297.21

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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.