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Finding the Fourth Proportional to 1,310.55, 1,962.78 and 897.45

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Solution

The fourth proportional to 1,310.55, 1,962.78 and 897.45 is: 1,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.55 : 1,962.78 = 897.45 : x
  2. Step 2: Convert to fraction form
    1,310.55/1,962.78 = 897.45/x
  3. Step 3: Cross multiply
    1,310.55x = 1,962.78 × 897.45
  4. Step 4: Simplify right side
    1,310.55x = 1,761,496.91
  5. Step 5: Solve for x
    x = 1,761,496.91/1,310.55
  6. Step 6: Final answer
    x = 1,344.09

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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.