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Finding the Fourth Proportional to 713.24, 983.76 and 702.44

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Solution

The fourth proportional to 713.24, 983.76 and 702.44 is: 968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.24 : 983.76 = 702.44 : x
  2. Step 2: Convert to fraction form
    713.24/983.76 = 702.44/x
  3. Step 3: Cross multiply
    713.24x = 983.76 × 702.44
  4. Step 4: Simplify right side
    713.24x = 691,032.37
  5. Step 5: Solve for x
    x = 691,032.37/713.24
  6. Step 6: Final answer
    x = 968.86

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1.5x scale

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.