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Finding the Fourth Proportional to 711.76, 981.94 and 525.68

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Solution

The fourth proportional to 711.76, 981.94 and 525.68 is: 725.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 981.94 = 525.68 : x
  2. Step 2: Convert to fraction form
    711.76/981.94 = 525.68/x
  3. Step 3: Cross multiply
    711.76x = 981.94 × 525.68
  4. Step 4: Simplify right side
    711.76x = 516,186.22
  5. Step 5: Solve for x
    x = 516,186.22/711.76
  6. Step 6: Final answer
    x = 725.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.