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Finding the Fourth Proportional to 692, 954.68 and 426.46

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Solution

The fourth proportional to 692, 954.68 and 426.46 is: 588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    692 : 954.68 = 426.46 : x
  2. Step 2: Convert to fraction form
    692/954.68 = 426.46/x
  3. Step 3: Cross multiply
    692x = 954.68 × 426.46
  4. Step 4: Simplify right side
    692x = 407,132.83
  5. Step 5: Solve for x
    x = 407,132.83/692
  6. Step 6: Final answer
    x = 588.34

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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.