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Finding the Fourth Proportional to 1,063.20, 1,467.23 and 591.13

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Solution

The fourth proportional to 1,063.20, 1,467.23 and 591.13 is: 815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.20 : 1,467.23 = 591.13 : x
  2. Step 2: Convert to fraction form
    1,063.20/1,467.23 = 591.13/x
  3. Step 3: Cross multiply
    1,063.20x = 1,467.23 × 591.13
  4. Step 4: Simplify right side
    1,063.20x = 867,323.41
  5. Step 5: Solve for x
    x = 867,323.41/1,063.20
  6. Step 6: Final answer
    x = 815.76

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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.