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Finding the Fourth Proportional to 913.53, 1,258.83 and 703.74

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Solution

The fourth proportional to 913.53, 1,258.83 and 703.74 is: 969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.53 : 1,258.83 = 703.74 : x
  2. Step 2: Convert to fraction form
    913.53/1,258.83 = 703.74/x
  3. Step 3: Cross multiply
    913.53x = 1,258.83 × 703.74
  4. Step 4: Simplify right side
    913.53x = 885,889.02
  5. Step 5: Solve for x
    x = 885,889.02/913.53
  6. Step 6: Final answer
    x = 969.74

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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.