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Finding the Fourth Proportional to 1,063.51, 1,467.24 and 784.41

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Solution

The fourth proportional to 1,063.51, 1,467.24 and 784.41 is: 1,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.51 : 1,467.24 = 784.41 : x
  2. Step 2: Convert to fraction form
    1,063.51/1,467.24 = 784.41/x
  3. Step 3: Cross multiply
    1,063.51x = 1,467.24 × 784.41
  4. Step 4: Simplify right side
    1,063.51x = 1,150,909.28
  5. Step 5: Solve for x
    x = 1,150,909.28/1,063.51
  6. Step 6: Final answer
    x = 1,082.18

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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.