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Finding the Fourth Proportional to 1,063.14, 1,467.18 and 591.04

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Solution

The fourth proportional to 1,063.14, 1,467.18 and 591.04 is: 815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.14 : 1,467.18 = 591.04 : x
  2. Step 2: Convert to fraction form
    1,063.14/1,467.18 = 591.04/x
  3. Step 3: Cross multiply
    1,063.14x = 1,467.18 × 591.04
  4. Step 4: Simplify right side
    1,063.14x = 867,158.40
  5. Step 5: Solve for x
    x = 867,158.40/1,063.14
  6. Step 6: Final answer
    x = 815.66

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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.