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Finding the Fourth Proportional to 1,052.88, 1,578.51 and 642.21

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Solution

The fourth proportional to 1,052.88, 1,578.51 and 642.21 is: 962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.88 : 1,578.51 = 642.21 : x
  2. Step 2: Convert to fraction form
    1,052.88/1,578.51 = 642.21/x
  3. Step 3: Cross multiply
    1,052.88x = 1,578.51 × 642.21
  4. Step 4: Simplify right side
    1,052.88x = 1,013,734.91
  5. Step 5: Solve for x
    x = 1,013,734.91/1,052.88
  6. Step 6: Final answer
    x = 962.82

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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.