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Finding the Fourth Proportional to 1,032.30, 1,548.36 and 599.22

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Solution

The fourth proportional to 1,032.30, 1,548.36 and 599.22 is: 898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.30 : 1,548.36 = 599.22 : x
  2. Step 2: Convert to fraction form
    1,032.30/1,548.36 = 599.22/x
  3. Step 3: Cross multiply
    1,032.30x = 1,548.36 × 599.22
  4. Step 4: Simplify right side
    1,032.30x = 927,808.28
  5. Step 5: Solve for x
    x = 927,808.28/1,032.30
  6. Step 6: Final answer
    x = 898.78

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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.