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Finding the Fourth Proportional to 1,440.64, 1,988.04 and 811.20

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Solution

The fourth proportional to 1,440.64, 1,988.04 and 811.20 is: 1,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.64 : 1,988.04 = 811.20 : x
  2. Step 2: Convert to fraction form
    1,440.64/1,988.04 = 811.20/x
  3. Step 3: Cross multiply
    1,440.64x = 1,988.04 × 811.20
  4. Step 4: Simplify right side
    1,440.64x = 1,612,698.05
  5. Step 5: Solve for x
    x = 1,612,698.05/1,440.64
  6. Step 6: Final answer
    x = 1,119.43

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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.