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Finding the Fourth Proportional to 1,348.08, 2,018.53 and 728.89

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Solution

The fourth proportional to 1,348.08, 2,018.53 and 728.89 is: 1,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.08 : 2,018.53 = 728.89 : x
  2. Step 2: Convert to fraction form
    1,348.08/2,018.53 = 728.89/x
  3. Step 3: Cross multiply
    1,348.08x = 2,018.53 × 728.89
  4. Step 4: Simplify right side
    1,348.08x = 1,471,280.38
  5. Step 5: Solve for x
    x = 1,471,280.38/1,348.08
  6. Step 6: Final answer
    x = 1,091.39

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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.