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Finding the Fourth Proportional to 675.37, 1,011.86 and 576.87

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Solution

The fourth proportional to 675.37, 1,011.86 and 576.87 is: 864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.37 : 1,011.86 = 576.87 : x
  2. Step 2: Convert to fraction form
    675.37/1,011.86 = 576.87/x
  3. Step 3: Cross multiply
    675.37x = 1,011.86 × 576.87
  4. Step 4: Simplify right side
    675.37x = 583,711.68
  5. Step 5: Solve for x
    x = 583,711.68/675.37
  6. Step 6: Final answer
    x = 864.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.