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Finding the Fourth Proportional to 929.26, 1,282.26 and 536.23

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Solution

The fourth proportional to 929.26, 1,282.26 and 536.23 is: 739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.26 : 1,282.26 = 536.23 : x
  2. Step 2: Convert to fraction form
    929.26/1,282.26 = 536.23/x
  3. Step 3: Cross multiply
    929.26x = 1,282.26 × 536.23
  4. Step 4: Simplify right side
    929.26x = 687,586.28
  5. Step 5: Solve for x
    x = 687,586.28/929.26
  6. Step 6: Final answer
    x = 739.93

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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.