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Finding the Fourth Proportional to 1,063.15, 1,466.97 and 591.03

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Solution

The fourth proportional to 1,063.15, 1,466.97 and 591.03 is: 815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.15 : 1,466.97 = 591.03 : x
  2. Step 2: Convert to fraction form
    1,063.15/1,466.97 = 591.03/x
  3. Step 3: Cross multiply
    1,063.15x = 1,466.97 × 591.03
  4. Step 4: Simplify right side
    1,063.15x = 867,021.06
  5. Step 5: Solve for x
    x = 867,021.06/1,063.15
  6. Step 6: Final answer
    x = 815.52

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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.