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Finding the Fourth Proportional to 1,034.30, 1,551.32 and 340.97

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Solution

The fourth proportional to 1,034.30, 1,551.32 and 340.97 is: 511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.30 : 1,551.32 = 340.97 : x
  2. Step 2: Convert to fraction form
    1,034.30/1,551.32 = 340.97/x
  3. Step 3: Cross multiply
    1,034.30x = 1,551.32 × 340.97
  4. Step 4: Simplify right side
    1,034.30x = 528,953.58
  5. Step 5: Solve for x
    x = 528,953.58/1,034.30
  6. Step 6: Final answer
    x = 511.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.