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Finding the Fourth Proportional to 1,576.71, 2,365.00 and 422.46

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Solution

The fourth proportional to 1,576.71, 2,365.00 and 422.46 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.71 : 2,365.00 = 422.46 : x
  2. Step 2: Convert to fraction form
    1,576.71/2,365.00 = 422.46/x
  3. Step 3: Cross multiply
    1,576.71x = 2,365.00 × 422.46
  4. Step 4: Simplify right side
    1,576.71x = 999,116.84
  5. Step 5: Solve for x
    x = 999,116.84/1,576.71
  6. Step 6: Final answer
    x = 633.67

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Why These Related Problems?

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