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Finding the Fourth Proportional to 1,032.22, 1,548.06 and 382.60

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Solution

The fourth proportional to 1,032.22, 1,548.06 and 382.60 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.22 : 1,548.06 = 382.60 : x
  2. Step 2: Convert to fraction form
    1,032.22/1,548.06 = 382.60/x
  3. Step 3: Cross multiply
    1,032.22x = 1,548.06 × 382.60
  4. Step 4: Simplify right side
    1,032.22x = 592,287.76
  5. Step 5: Solve for x
    x = 592,287.76/1,032.22
  6. Step 6: Final answer
    x = 573.80

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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.