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Finding the Fourth Proportional to 711.56, 981.36 and 546.14

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Solution

The fourth proportional to 711.56, 981.36 and 546.14 is: 753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.56 : 981.36 = 546.14 : x
  2. Step 2: Convert to fraction form
    711.56/981.36 = 546.14/x
  3. Step 3: Cross multiply
    711.56x = 981.36 × 546.14
  4. Step 4: Simplify right side
    711.56x = 535,955.04
  5. Step 5: Solve for x
    x = 535,955.04/711.56
  6. Step 6: Final answer
    x = 753.22

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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.