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Finding the Fourth Proportional to 929.12, 1,282.10 and 536.09

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Solution

The fourth proportional to 929.12, 1,282.10 and 536.09 is: 739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,282.10 = 536.09 : x
  2. Step 2: Convert to fraction form
    929.12/1,282.10 = 536.09/x
  3. Step 3: Cross multiply
    929.12x = 1,282.10 × 536.09
  4. Step 4: Simplify right side
    929.12x = 687,311.90
  5. Step 5: Solve for x
    x = 687,311.90/929.12
  6. Step 6: Final answer
    x = 739.75

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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.