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Finding the Fourth Proportional to 1,026.01, 1,541.90 and 609.60

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Solution

The fourth proportional to 1,026.01, 1,541.90 and 609.60 is: 916.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.01 : 1,541.90 = 609.60 : x
  2. Step 2: Convert to fraction form
    1,026.01/1,541.90 = 609.60/x
  3. Step 3: Cross multiply
    1,026.01x = 1,541.90 × 609.60
  4. Step 4: Simplify right side
    1,026.01x = 939,942.24
  5. Step 5: Solve for x
    x = 939,942.24/1,026.01
  6. Step 6: Final answer
    x = 916.11

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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.