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Finding the Fourth Proportional to 981.79, 1,356.06 and 734.21

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Solution

The fourth proportional to 981.79, 1,356.06 and 734.21 is: 1,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.79 : 1,356.06 = 734.21 : x
  2. Step 2: Convert to fraction form
    981.79/1,356.06 = 734.21/x
  3. Step 3: Cross multiply
    981.79x = 1,356.06 × 734.21
  4. Step 4: Simplify right side
    981.79x = 995,632.81
  5. Step 5: Solve for x
    x = 995,632.81/981.79
  6. Step 6: Final answer
    x = 1,014.10

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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.