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Finding the Fourth Proportional to 711.46, 981.42 and 501.42

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Solution

The fourth proportional to 711.46, 981.42 and 501.42 is: 691.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 981.42 = 501.42 : x
  2. Step 2: Convert to fraction form
    711.46/981.42 = 501.42/x
  3. Step 3: Cross multiply
    711.46x = 981.42 × 501.42
  4. Step 4: Simplify right side
    711.46x = 492,097.14
  5. Step 5: Solve for x
    x = 492,097.14/711.46
  6. Step 6: Final answer
    x = 691.67

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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.