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Finding the Fourth Proportional to 656.58, 984.26 and 533.87

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Solution

The fourth proportional to 656.58, 984.26 and 533.87 is: 800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.58 : 984.26 = 533.87 : x
  2. Step 2: Convert to fraction form
    656.58/984.26 = 533.87/x
  3. Step 3: Cross multiply
    656.58x = 984.26 × 533.87
  4. Step 4: Simplify right side
    656.58x = 525,463.30
  5. Step 5: Solve for x
    x = 525,463.30/656.58
  6. Step 6: Final answer
    x = 800.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.