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Finding the Fourth Proportional to 685.34, 943.48 and 653.95

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Solution

The fourth proportional to 685.34, 943.48 and 653.95 is: 900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.34 : 943.48 = 653.95 : x
  2. Step 2: Convert to fraction form
    685.34/943.48 = 653.95/x
  3. Step 3: Cross multiply
    685.34x = 943.48 × 653.95
  4. Step 4: Simplify right side
    685.34x = 616,985.48
  5. Step 5: Solve for x
    x = 616,985.48/685.34
  6. Step 6: Final answer
    x = 900.27

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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.