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Finding the Fourth Proportional to 911.55, 1,258.64 and 701.40

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Solution

The fourth proportional to 911.55, 1,258.64 and 701.40 is: 968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.55 : 1,258.64 = 701.40 : x
  2. Step 2: Convert to fraction form
    911.55/1,258.64 = 701.40/x
  3. Step 3: Cross multiply
    911.55x = 1,258.64 × 701.40
  4. Step 4: Simplify right side
    911.55x = 882,806.59
  5. Step 5: Solve for x
    x = 882,806.59/911.55
  6. Step 6: Final answer
    x = 968.47

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Why These Related Problems?

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