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Finding the Fourth Proportional to 1,068.45, 1,474.36 and 596.26

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Solution

The fourth proportional to 1,068.45, 1,474.36 and 596.26 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.45 : 1,474.36 = 596.26 : x
  2. Step 2: Convert to fraction form
    1,068.45/1,474.36 = 596.26/x
  3. Step 3: Cross multiply
    1,068.45x = 1,474.36 × 596.26
  4. Step 4: Simplify right side
    1,068.45x = 879,101.89
  5. Step 5: Solve for x
    x = 879,101.89/1,068.45
  6. Step 6: Final answer
    x = 822.78

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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.