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Finding the Fourth Proportional to 1,034.31, 1,551.14 and 340.83

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Solution

The fourth proportional to 1,034.31, 1,551.14 and 340.83 is: 511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.31 : 1,551.14 = 340.83 : x
  2. Step 2: Convert to fraction form
    1,034.31/1,551.14 = 340.83/x
  3. Step 3: Cross multiply
    1,034.31x = 1,551.14 × 340.83
  4. Step 4: Simplify right side
    1,034.31x = 528,666.44
  5. Step 5: Solve for x
    x = 528,666.44/1,034.31
  6. Step 6: Final answer
    x = 511.13

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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.