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Finding the Fourth Proportional to 1,440.66, 1,988.30 and 811.22

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Solution

The fourth proportional to 1,440.66, 1,988.30 and 811.22 is: 1,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.66 : 1,988.30 = 811.22 : x
  2. Step 2: Convert to fraction form
    1,440.66/1,988.30 = 811.22/x
  3. Step 3: Cross multiply
    1,440.66x = 1,988.30 × 811.22
  4. Step 4: Simplify right side
    1,440.66x = 1,612,948.73
  5. Step 5: Solve for x
    x = 1,612,948.73/1,440.66
  6. Step 6: Final answer
    x = 1,119.59

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1.5x scale

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.