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Finding the Fourth Proportional to 1,034.54, 1,427.67 and 592.42

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Solution

The fourth proportional to 1,034.54, 1,427.67 and 592.42 is: 817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.54 : 1,427.67 = 592.42 : x
  2. Step 2: Convert to fraction form
    1,034.54/1,427.67 = 592.42/x
  3. Step 3: Cross multiply
    1,034.54x = 1,427.67 × 592.42
  4. Step 4: Simplify right side
    1,034.54x = 845,776.69
  5. Step 5: Solve for x
    x = 845,776.69/1,034.54
  6. Step 6: Final answer
    x = 817.54

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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.