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Finding the Fourth Proportional to 711.45, 981.78 and 435.45

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Solution

The fourth proportional to 711.45, 981.78 and 435.45 is: 600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.45 : 981.78 = 435.45 : x
  2. Step 2: Convert to fraction form
    711.45/981.78 = 435.45/x
  3. Step 3: Cross multiply
    711.45x = 981.78 × 435.45
  4. Step 4: Simplify right side
    711.45x = 427,516.10
  5. Step 5: Solve for x
    x = 427,516.10/711.45
  6. Step 6: Final answer
    x = 600.91

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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.