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Finding the Fourth Proportional to 656.92, 984.34 and 534.58

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Solution

The fourth proportional to 656.92, 984.34 and 534.58 is: 801.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 984.34 = 534.58 : x
  2. Step 2: Convert to fraction form
    656.92/984.34 = 534.58/x
  3. Step 3: Cross multiply
    656.92x = 984.34 × 534.58
  4. Step 4: Simplify right side
    656.92x = 526,206.68
  5. Step 5: Solve for x
    x = 526,206.68/656.92
  6. Step 6: Final answer
    x = 801.02

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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.