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Finding the Fourth Proportional to 929.63, 1,282.89 and 556.62

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Solution

The fourth proportional to 929.63, 1,282.89 and 556.62 is: 768.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.63 : 1,282.89 = 556.62 : x
  2. Step 2: Convert to fraction form
    929.63/1,282.89 = 556.62/x
  3. Step 3: Cross multiply
    929.63x = 1,282.89 × 556.62
  4. Step 4: Simplify right side
    929.63x = 714,082.23
  5. Step 5: Solve for x
    x = 714,082.23/929.63
  6. Step 6: Final answer
    x = 768.14

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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.