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Finding the Fourth Proportional to 898.14, 1,347.90 and 656.22

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Solution

The fourth proportional to 898.14, 1,347.90 and 656.22 is: 984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.14 : 1,347.90 = 656.22 : x
  2. Step 2: Convert to fraction form
    898.14/1,347.90 = 656.22/x
  3. Step 3: Cross multiply
    898.14x = 1,347.90 × 656.22
  4. Step 4: Simplify right side
    898.14x = 884,518.94
  5. Step 5: Solve for x
    x = 884,518.94/898.14
  6. Step 6: Final answer
    x = 984.83

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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.