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Finding the Fourth Proportional to 1,065.56, 1,598.03 and 674.97

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Solution

The fourth proportional to 1,065.56, 1,598.03 and 674.97 is: 1,012.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.56 : 1,598.03 = 674.97 : x
  2. Step 2: Convert to fraction form
    1,065.56/1,598.03 = 674.97/x
  3. Step 3: Cross multiply
    1,065.56x = 1,598.03 × 674.97
  4. Step 4: Simplify right side
    1,065.56x = 1,078,615.47
  5. Step 5: Solve for x
    x = 1,078,615.47/1,065.56
  6. Step 6: Final answer
    x = 1,012.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.