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Finding the Fourth Proportional to 1,134.87, 1,566.23 and 762.62

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Solution

The fourth proportional to 1,134.87, 1,566.23 and 762.62 is: 1,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.87 : 1,566.23 = 762.62 : x
  2. Step 2: Convert to fraction form
    1,134.87/1,566.23 = 762.62/x
  3. Step 3: Cross multiply
    1,134.87x = 1,566.23 × 762.62
  4. Step 4: Simplify right side
    1,134.87x = 1,194,444.14
  5. Step 5: Solve for x
    x = 1,194,444.14/1,134.87
  6. Step 6: Final answer
    x = 1,052.49

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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.