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Finding the Fourth Proportional to 1,026.92, 1,541.02 and 594.92

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Solution

The fourth proportional to 1,026.92, 1,541.02 and 594.92 is: 892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.92 : 1,541.02 = 594.92 : x
  2. Step 2: Convert to fraction form
    1,026.92/1,541.02 = 594.92/x
  3. Step 3: Cross multiply
    1,026.92x = 1,541.02 × 594.92
  4. Step 4: Simplify right side
    1,026.92x = 916,783.62
  5. Step 5: Solve for x
    x = 916,783.62/1,026.92
  6. Step 6: Final answer
    x = 892.75

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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.