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Finding the Fourth Proportional to 711.56, 980.83 and 524.45

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Solution

The fourth proportional to 711.56, 980.83 and 524.45 is: 722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.56 : 980.83 = 524.45 : x
  2. Step 2: Convert to fraction form
    711.56/980.83 = 524.45/x
  3. Step 3: Cross multiply
    711.56x = 980.83 × 524.45
  4. Step 4: Simplify right side
    711.56x = 514,396.29
  5. Step 5: Solve for x
    x = 514,396.29/711.56
  6. Step 6: Final answer
    x = 722.91

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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.