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Finding the Fourth Proportional to 1,356.64, 1,872.14 and 735.64

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Solution

The fourth proportional to 1,356.64, 1,872.14 and 735.64 is: 1,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.64 : 1,872.14 = 735.64 : x
  2. Step 2: Convert to fraction form
    1,356.64/1,872.14 = 735.64/x
  3. Step 3: Cross multiply
    1,356.64x = 1,872.14 × 735.64
  4. Step 4: Simplify right side
    1,356.64x = 1,377,217.39
  5. Step 5: Solve for x
    x = 1,377,217.39/1,356.64
  6. Step 6: Final answer
    x = 1,015.17

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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.