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Finding the Fourth Proportional to 1,063.66, 1,467.86 and 591.56

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Solution

The fourth proportional to 1,063.66, 1,467.86 and 591.56 is: 816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.66 : 1,467.86 = 591.56 : x
  2. Step 2: Convert to fraction form
    1,063.66/1,467.86 = 591.56/x
  3. Step 3: Cross multiply
    1,063.66x = 1,467.86 × 591.56
  4. Step 4: Simplify right side
    1,063.66x = 868,327.26
  5. Step 5: Solve for x
    x = 868,327.26/1,063.66
  6. Step 6: Final answer
    x = 816.36

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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.