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Finding the Fourth Proportional to 968.92, 1,336.18 and 705.08

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Solution

The fourth proportional to 968.92, 1,336.18 and 705.08 is: 972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.92 : 1,336.18 = 705.08 : x
  2. Step 2: Convert to fraction form
    968.92/1,336.18 = 705.08/x
  3. Step 3: Cross multiply
    968.92x = 1,336.18 × 705.08
  4. Step 4: Simplify right side
    968.92x = 942,113.79
  5. Step 5: Solve for x
    x = 942,113.79/968.92
  6. Step 6: Final answer
    x = 972.33

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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.