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Finding the Fourth Proportional to 1,032.78, 1,549.70 and 485.02

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Solution

The fourth proportional to 1,032.78, 1,549.70 and 485.02 is: 727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.78 : 1,549.70 = 485.02 : x
  2. Step 2: Convert to fraction form
    1,032.78/1,549.70 = 485.02/x
  3. Step 3: Cross multiply
    1,032.78x = 1,549.70 × 485.02
  4. Step 4: Simplify right side
    1,032.78x = 751,635.49
  5. Step 5: Solve for x
    x = 751,635.49/1,032.78
  6. Step 6: Final answer
    x = 727.78

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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.