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Finding the Fourth Proportional to 1,063.76, 1,467.96 and 591.65

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Solution

The fourth proportional to 1,063.76, 1,467.96 and 591.65 is: 816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.76 : 1,467.96 = 591.65 : x
  2. Step 2: Convert to fraction form
    1,063.76/1,467.96 = 591.65/x
  3. Step 3: Cross multiply
    1,063.76x = 1,467.96 × 591.65
  4. Step 4: Simplify right side
    1,063.76x = 868,514.48
  5. Step 5: Solve for x
    x = 868,514.48/1,063.76
  6. Step 6: Final answer
    x = 816.46

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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.