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Finding the Fourth Proportional to 1,063.47, 1,467.64 and 591.37

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Solution

The fourth proportional to 1,063.47, 1,467.64 and 591.37 is: 816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.47 : 1,467.64 = 591.37 : x
  2. Step 2: Convert to fraction form
    1,063.47/1,467.64 = 591.37/x
  3. Step 3: Cross multiply
    1,063.47x = 1,467.64 × 591.37
  4. Step 4: Simplify right side
    1,063.47x = 867,913.12
  5. Step 5: Solve for x
    x = 867,913.12/1,063.47
  6. Step 6: Final answer
    x = 816.11

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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.