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Finding the Fourth Proportional to 1,576.84, 2,364.98 and 422.32

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Solution

The fourth proportional to 1,576.84, 2,364.98 and 422.32 is: 633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.84 : 2,364.98 = 422.32 : x
  2. Step 2: Convert to fraction form
    1,576.84/2,364.98 = 422.32/x
  3. Step 3: Cross multiply
    1,576.84x = 2,364.98 × 422.32
  4. Step 4: Simplify right side
    1,576.84x = 998,766.53
  5. Step 5: Solve for x
    x = 998,766.53/1,576.84
  6. Step 6: Final answer
    x = 633.40

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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.