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Finding the Fourth Proportional to 1,063.65, 1,467.83 and 591.55

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Solution

The fourth proportional to 1,063.65, 1,467.83 and 591.55 is: 816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.65 : 1,467.83 = 591.55 : x
  2. Step 2: Convert to fraction form
    1,063.65/1,467.83 = 591.55/x
  3. Step 3: Cross multiply
    1,063.65x = 1,467.83 × 591.55
  4. Step 4: Simplify right side
    1,063.65x = 868,294.84
  5. Step 5: Solve for x
    x = 868,294.84/1,063.65
  6. Step 6: Final answer
    x = 816.34

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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.