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Finding the Fourth Proportional to 1,034.94, 1,427.72 and 642.09

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Solution

The fourth proportional to 1,034.94, 1,427.72 and 642.09 is: 885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.94 : 1,427.72 = 642.09 : x
  2. Step 2: Convert to fraction form
    1,034.94/1,427.72 = 642.09/x
  3. Step 3: Cross multiply
    1,034.94x = 1,427.72 × 642.09
  4. Step 4: Simplify right side
    1,034.94x = 916,721.52
  5. Step 5: Solve for x
    x = 916,721.52/1,034.94
  6. Step 6: Final answer
    x = 885.77

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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.