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Finding the Fourth Proportional to 1,065.69, 1,598.49 and 264.26

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Solution

The fourth proportional to 1,065.69, 1,598.49 and 264.26 is: 396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.69 : 1,598.49 = 264.26 : x
  2. Step 2: Convert to fraction form
    1,065.69/1,598.49 = 264.26/x
  3. Step 3: Cross multiply
    1,065.69x = 1,598.49 × 264.26
  4. Step 4: Simplify right side
    1,065.69x = 422,416.97
  5. Step 5: Solve for x
    x = 422,416.97/1,065.69
  6. Step 6: Final answer
    x = 396.38

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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.