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Finding the Fourth Proportional to 929.35, 1,282.29 and 556.27

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Solution

The fourth proportional to 929.35, 1,282.29 and 556.27 is: 767.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.35 : 1,282.29 = 556.27 : x
  2. Step 2: Convert to fraction form
    929.35/1,282.29 = 556.27/x
  3. Step 3: Cross multiply
    929.35x = 1,282.29 × 556.27
  4. Step 4: Simplify right side
    929.35x = 713,299.46
  5. Step 5: Solve for x
    x = 713,299.46/929.35
  6. Step 6: Final answer
    x = 767.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.