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Finding the Fourth Proportional to 929.45, 1,282.15 and 556.19

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Solution

The fourth proportional to 929.45, 1,282.15 and 556.19 is: 767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.45 : 1,282.15 = 556.19 : x
  2. Step 2: Convert to fraction form
    929.45/1,282.15 = 556.19/x
  3. Step 3: Cross multiply
    929.45x = 1,282.15 × 556.19
  4. Step 4: Simplify right side
    929.45x = 713,123.27
  5. Step 5: Solve for x
    x = 713,123.27/929.45
  6. Step 6: Final answer
    x = 767.25

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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.