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Finding the Fourth Proportional to 1,440.83, 1,988.27 and 811.46

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Solution

The fourth proportional to 1,440.83, 1,988.27 and 811.46 is: 1,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.83 : 1,988.27 = 811.46 : x
  2. Step 2: Convert to fraction form
    1,440.83/1,988.27 = 811.46/x
  3. Step 3: Cross multiply
    1,440.83x = 1,988.27 × 811.46
  4. Step 4: Simplify right side
    1,440.83x = 1,613,387.58
  5. Step 5: Solve for x
    x = 1,613,387.58/1,440.83
  6. Step 6: Final answer
    x = 1,119.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.