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Finding the Fourth Proportional to 1,257.53, 1,737.05 and 962.28

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Solution

The fourth proportional to 1,257.53, 1,737.05 and 962.28 is: 1,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.53 : 1,737.05 = 962.28 : x
  2. Step 2: Convert to fraction form
    1,257.53/1,737.05 = 962.28/x
  3. Step 3: Cross multiply
    1,257.53x = 1,737.05 × 962.28
  4. Step 4: Simplify right side
    1,257.53x = 1,671,523.66
  5. Step 5: Solve for x
    x = 1,671,523.66/1,257.53
  6. Step 6: Final answer
    x = 1,329.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.