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Finding the Fourth Proportional to 1,270.64, 1,905 and 693.20

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Solution

The fourth proportional to 1,270.64, 1,905 and 693.20 is: 1,039.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.64 : 1,905 = 693.20 : x
  2. Step 2: Convert to fraction form
    1,270.64/1,905 = 693.20/x
  3. Step 3: Cross multiply
    1,270.64x = 1,905 × 693.20
  4. Step 4: Simplify right side
    1,270.64x = 1,320,546
  5. Step 5: Solve for x
    x = 1,320,546/1,270.64
  6. Step 6: Final answer
    x = 1,039.28

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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.