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Finding the Fourth Proportional to 898.59, 1,236.34 and 701.76

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Solution

The fourth proportional to 898.59, 1,236.34 and 701.76 is: 965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,236.34 = 701.76 : x
  2. Step 2: Convert to fraction form
    898.59/1,236.34 = 701.76/x
  3. Step 3: Cross multiply
    898.59x = 1,236.34 × 701.76
  4. Step 4: Simplify right side
    898.59x = 867,606.02
  5. Step 5: Solve for x
    x = 867,606.02/898.59
  6. Step 6: Final answer
    x = 965.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.