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Finding the Fourth Proportional to 1,029.30, 1,539.90 and 932.10

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Solution

The fourth proportional to 1,029.30, 1,539.90 and 932.10 is: 1,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.30 : 1,539.90 = 932.10 : x
  2. Step 2: Convert to fraction form
    1,029.30/1,539.90 = 932.10/x
  3. Step 3: Cross multiply
    1,029.30x = 1,539.90 × 932.10
  4. Step 4: Simplify right side
    1,029.30x = 1,435,340.79
  5. Step 5: Solve for x
    x = 1,435,340.79/1,029.30
  6. Step 6: Final answer
    x = 1,394.48

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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.