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Finding the Fourth Proportional to 685.90, 1,029.63 and 361.18

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Solution

The fourth proportional to 685.90, 1,029.63 and 361.18 is: 542.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.90 : 1,029.63 = 361.18 : x
  2. Step 2: Convert to fraction form
    685.90/1,029.63 = 361.18/x
  3. Step 3: Cross multiply
    685.90x = 1,029.63 × 361.18
  4. Step 4: Simplify right side
    685.90x = 371,881.76
  5. Step 5: Solve for x
    x = 371,881.76/685.90
  6. Step 6: Final answer
    x = 542.18

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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.