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Finding the Fourth Proportional to 1,376.64, 1,899.36 and 852.48

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Solution

The fourth proportional to 1,376.64, 1,899.36 and 852.48 is: 1,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.64 : 1,899.36 = 852.48 : x
  2. Step 2: Convert to fraction form
    1,376.64/1,899.36 = 852.48/x
  3. Step 3: Cross multiply
    1,376.64x = 1,899.36 × 852.48
  4. Step 4: Simplify right side
    1,376.64x = 1,619,166.41
  5. Step 5: Solve for x
    x = 1,619,166.41/1,376.64
  6. Step 6: Final answer
    x = 1,176.17

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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.