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Finding the Fourth Proportional to 711.88, 983.01 and 525.70

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Solution

The fourth proportional to 711.88, 983.01 and 525.70 is: 725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.88 : 983.01 = 525.70 : x
  2. Step 2: Convert to fraction form
    711.88/983.01 = 525.70/x
  3. Step 3: Cross multiply
    711.88x = 983.01 × 525.70
  4. Step 4: Simplify right side
    711.88x = 516,768.36
  5. Step 5: Solve for x
    x = 516,768.36/711.88
  6. Step 6: Final answer
    x = 725.92

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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.